Differential Equation Grapher

In the example given above you would define F1=x(t), F2=v(t) and dF1/dt=F2 , dF2/dt=c/x^2. Many mathematicians have. whose derivative is zero everywhere. Many real-world phenomena are modeled by differential equations. How to graph Equations-Any (linear,quadratic,trigonometric etc) using DESMOS Desmos is the best app to play with graphs. What is the carrying capacity of the US according to this model?. Submit in one word document per person. Step 1: Setting the right-hand side equal to zero leads to \(P=0\) and \(P=K\) as constant solutions. I am getting a graph, but not exactly what I was expecting, not sure, if is my equation or if I could use a different code. Underneath the graph is a differential equation and its solution. Decide which Is the correct equation and justify your answers. Linear DEs of Order 1. The most important features of this equation are the second spatial derivative u xx and the first derivative with respect to time, u t. We already. exe and Grapher. Numerical integration of y=f(x)". The graph shows solution functions x(t) andy(t) to the system of differential equations x'=f (x,y) and y'=g(x,y), with initial values given by x(t 0)=x 0 and y(t 0)=y 0. Plot a function and its derivative, or graph the derivative directly. A linear equation in x is one that can be written in the form ax + b = 0 for some numbers a and b with a not equal to 0. By Steven Holzner. This plotter utilizes the Runge-Kutta method in order to plot solutions. This has an easy control and you can draw almost any graph of any equation. Finally, we check the graph of the equation against the graph of our original data. Example: g'' + g = 1 There are homogeneous and particular solution equations, nonlinear equations, first-order, second-order, third-order, and many other equations. The system must be written in terms of first-order differential equations only. Ask Question Asked 6 years, 8 months ago. u t = a 2 u xx. There are standard methods for the solution of differential equations. –Sketch a particular solution on a (given) slope field. In other words, Directional Fields are a tool to graphically obtain the solutions to first order differential equations, as nicely stated by SOS Math. Section 1-2 : Direction Fields. In this section we describe Maple commands for plotting direction fields and/or solution curves for a single first order differential equation of the form. Conditions for the existence of solutions are determined and investigated. A linear equation has exactly one solution. The discovery of such compli-cated dynamical systems as the horseshoe map, homoclinic tangles, and the. PHAR 7633 Chapter 19 Multi-Compartment Pharmacokinetic Models Student Objectives for this Chapter To draw the scheme and write the differential equations appropriate to a multi-compartment pharmacokinetic model To recognize and use the integrated equations for these models to calculate parameter values and for dosage regimen calculations. The x- and y-coordinates of the graph's points represent two sets of quantities and the graph plots the relationship between the two. I think this video is pretty helpful, and make a clear point on the improved Euler’s Method and a example include in the video. Graph these linear equations in the rectangular coordinate system and calculate the X intercept and slope. the wave equation U + U = 0, t x with an initial condition of a hump resolved with 10 points. Write an equation of the line satisfying the given conditions. 6 Package deSolve: Solving Initial Value Differential Equations in R 2. Graphs are very important for giving a visual representation of the relationship between two variables in an equation. We first rewrite the given equations in differential form and with variables separated, the y's on one side and the x's on the other side as follows. Or a linear increase. `m^2-4m+4` `=(m-2)^2` `=0` In this case, we have: `m=2` (repeated root) We need to use the second form from the table above (`y = e^(mx)(A + Bx)`), and once again use the correct variables (t and s, instead of x and y). But that's not an Excel question -- that's more a math question. How is a differential equation different from a regular one? Well, the solution is a function (or a class of functions), not a number. Window Settings. Taking a look at the graph of f(x), you can see that the x intercepts on the graph of f'(x) will be located roughly at x = -3 and x = 4. Systems of linear equations (also known as linear systems) A system of linear (algebraic) equations, Ax = b, could have zero, exactly one, or infinitely many solutions. A differential equation is an equation involving a function and its derivatives. Averaging over all colorings gives curvature. To see this, substitute for and in the original equation. Therefore we can express equation (1) as a system of two first order differential equations: x' = v. Differential equation model and graph question. So here is this wooden plank A (straight one) and B (a curved one). Let's say I have the equation y is equal to x plus 3. E F Graph 3D Mode. We can graph the equations within a system to find out whether the system has zero solutions (represented by parallel lines), one solution (represented by intersecting lines), or an infinite number of solutions (represented by two superimposed lines). 134 Setting the Graph Screen. A partial di erential equation (PDE) is an equation involving partial deriva-tives. As the first step in the modeling process, we identify the independent and dependent variables. time (3 ODEs) Plots the dependent variables as a function of t (the independent variable) on separate axes. Furthermore, the approach used in the last example of finding an equivalent equation of the form x = c always works with linear equations. (For autonomous differential equations, and those using measured data compare the "7. The graph shows solution functions x(t) andy(t) to the system of differential equations x'=f (x,y) and y'=g(x,y), with initial values given by x(t 0)=x 0 and y(t 0)=y 0. In most applications, the functions represent physical quantities, the derivatives represent their rates of change, and the equation defines a relationship between them. And that incidence matrix tells me everything about a graph. Linear statements look like lines when they are graphed and have a constant slope. But the statements for a differential equation are only the beginning, and not all differential equations have analytical solutions (solutions expressible as a practical function, one consisting of normal mathematical operations). % The standard format for such an equation is % y''(t) + p(t) y'(t) + q(t) y(t) = g(t),. Modeling differential equations require initial conditions for the states in order to simulate. In other words, the slope of the tangent line to the solution is known and is given by the right hand side of the differential equation. Enter your differential equations into a Microsoft Excel worksheet in order to create a visual representation of your data. Write the answer in slope intercept form and graph the equation in the coordinate system. ò e-y dy = ò 3 x 2 dx which gives-e-y + C1 = x 3 + C2 , C1 and C2 are constant of integration. WZGrapher can also be used to graph numerical solution curves of integrals, to solve numerically and graph ordinary differential equations up to the fifth order,. It is made up of terms separated by a plus or minus sign. Get the free "General Differential Equation Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. differential equation is the order of the highest derivative involved in the equation. The independent variable is time t, measured in days. The first three worksheets practise methods for solving first order differential equations which are taught in MATH108. The topic is ``differential equations on graphs". Menu Algebra 2 / How to graph functions and linear equations / Functions and linear equations If we in the following equation y=x+7 assigns a value to x, the equation will give us a value for y. I need to graph the equation vdv/dx=9. 2x - 3y = 18 B. A differential equation that contains derivatives which are either partial derivatives or ordinary derivatives. Case (ii) Overdamping (distinct real roots) If b2 > 4mk then the term under the square root is positive and the char­. A solution of a linear system is a common intersection point of all the equations’ graphs − and there are. It can also solve numerically initial value problems for the equation. In a previous post, we talked about a brief overview of. Use Runge Kutta Gill method to solve the ordinary differential equation of first order. Scond-order linear differential equations are used to model many situations in physics and engineering. Currently taking a course in Ordinary and Partial differential equations, and I use this book to supplement the assigned textbook. However, we can draw diagrams in 2 dimensions to represent the solutions by eliminating one of the variables. In Figure 3 we have sketched the phase line and graph of f for the differential equation. A differential equation is an equation that relates a function with one or more of its derivatives. More On-Line Utilities Topic Summary for Functions Everything for Calculus Everything for Finite Math Everything for Finite Math & Calculus. This paper studies the structure of the hyperbolic partial. In other words, the slope of the tangent line to the solution is known and is given by the right hand side of the differential equation. " It would be nice to be able to draw lines between the table points in the Graph Plotter rather than just the points. We already. The choice of method depends on the accuracy required. Re: Plotting differential and integral equations? It's been too long, I guess, since I took calculus and differential equations, so I can't immediately visualize the solutions to that equation. is a differential equation. Free system of non linear equations calculator - solve system of non linear equations step-by-step. As an example, take the equation with the initial conditions and :. How do you solve differential equations with a TI-89? I can't find the manual for it, and can't seem to get the syntax correct. However, we can draw diagrams in 2 dimensions to represent the solutions by eliminating one of the variables. ytext( )' = 6 ­ y^2 text( , ) y(0) = ­3 text( , ) y(0) = 3 The following is the graph of z = 6 ­ y 2. Second Order Linear Equations and the Airy Functions: Why Special Functions are Really No More Complicated than Most Elementary Functions % We shall consider here the most important second order % ordinary differential equations, namely linear equations. This topic is given its own section for a couple of reasons. An example of a linear equation is because, for , it can be written in the form. Graphing differential equations is new feature on TI-Nspire. In particular, the Lorenz attractor is a set of chaotic solutions of the Lorenz system. For a differential equation involving x and y, you separate the x variables to one side and the y variables to the other. Menu Algebra 2 / How to graph functions and linear equations / Functions and linear equations If we in the following equation y=x+7 assigns a value to x, the equation will give us a value for y. The given differential equation is named after the German mathematician and astronomer Friedrich Wilhelm Bessel who studied this equation in detail and showed (in 1824) that its solutions are expressed in terms of a special class of functions called cylinder functions or Bessel functions. Click anywhere in the top window to select an initial condition. Example: g'' + g = 1 There are homogeneous and particular solution equations, nonlinear equations, first-order, second-order, third-order, and many other equations. NDSolve solves a differential equation numerically. Graph these linear equations in the rectangular coordinate system and calculate the X intercept and slope. There are standard methods for the solution of differential equations. 5: Autonomous Differential Equations - Mathematics LibreTexts. E F Graph 3D Mode. I II III IV (a) y. However, we can draw diagrams in 2 dimensions to represent the solutions by eliminating one of the variables. We want to find the value of y when x = 1. There are homogeneous and particular solution equations, nonlinear equations, first-order, second-order, third-order, and many other equations. •Draw a slope field by hand. Solving Third and Higher Order Differential Equations Remark: TI 89 does not solve 3rd and higher order differential equations. I have spent hours trying to decipher the examples for graphing Differential equations in Grapher. The most comprehensive Differential Equations Solver for calculators. I have even copied and pasted the equation from the example to a new worksheet to no avail. At the top of the applet you will see a graph. 6 words related to differential equation: equation, Maxwell's equations, partial differential equation, Schrodinger equation, Schrodinger wave equation. We use differential equations to predict the spread of diseases through a population. Single Differential Equation to Transfer Function. A key idea in solving differential equations will be that of integration. Many mathematicians have. A differential equation (de) is an equation involving a function and its deriva-tives. For instance, an ordinary differential equation in x(t) might involve x, t, dx/dt, d 2 x/dt 2 and perhaps other derivatives. At the top of the applet you will see a graph. Unleash the power of differential calculus in Desmos with just a few keystrokes: d/dx. First Order Differential Equations In “real-world,” there are many physical quantities that can be represented by functions involving only one of the four variables e. Once you've entered all of your data you can. Equations which define relationship between these variables and their derivatives are called differential equations. 17 Responses to "Linear Phase Portraits: Matrix Entry" kanok on August 27th, 2012 @ 2:30 am the demo of phase plane and phase trajetories are very interesting and easy to understand for the system of differential equation. dy / dt = y 4 - y 2. I have even copied and pasted the equation from the example to a new worksheet to no avail. When reading a sentence that relates a function to one of its derivatives, it's important to extract the correct meaning to give rise to a differential equation. An example of using ODEINT is with the following differential equation with parameter k=0. These points correspond to the x-intercepts in the graph of the derivative. (Recall that each linear equation has a line as its graph. Systems of equations are comprised of two or more equations that share two or more unknowns. It is made up of terms separated by a plus or minus sign. If P = P0 at t = 0, then P0 = A e0 which gives A = P0 The final form of the solution is given by P (t) = P 0 e k t Assuming P0 is positive and since k is positive,. The terms d 3 y / dx 3, d 2 y / dx 2 and dy / dx are all linear. Since the equation's highest derivative is 2, we say that the differential equation is of order 2. Get started with the video on the right, then dive deeper with the resources below. Systems of Differential Equations Homogeneous Linear Systems 1 hr 53 min 10 Examples Overview of Linear Systems and Matrices Two Examples – write the linear system in matrix form Example – verify the vector is a solution to the given system Overview of How to Solve Linear Systems using Eigenvectors Example #1 – find the…. Get the free "General Differential Equation Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Initial conditions are also supported. Once you've entered all of your data you can. One sometimes distinguishes partial differential equations (which involve partial derivatives ) from ordinary differential equations (which don't). Finally, we complete our model by giving each differential equation an initial condition. Plotting direction fields and solution curves. Initial value curves can be plotted by inputting initial (x,y) values or by clicking anywhere on the portrait. Match the solution curve with at least one pair of the following initial conditions. Checkmark the Verbose print out details for each interval step. : `m^2+60m+500` `=(m+10)(m+50)` `=0` So `m_1=-10` and `m_2=-50`. For this particular virus -- Hong Kong flu in New York City in the late 1960's -- hardly anyone was immune at the beginning of the epidemic, so almost everyone was susceptible. This plotter utilizes the Runge-Kutta method in order to plot solutions. Change the Step size to improve or reduce the accuracy of solutions (0. 8 Ordinary Differential Equations 8-4 Note that the IVP now has the form , where. Nine equation system families are provided - some simple algebraic systems, some ecology models, and some limit cycles. Also it calculates the inverse, transpose, eigenvalues, LU decomposition of square matrices. Generally, differential equations calculator provides detailed solution Online differential equations calculator allows you to solve: Including detailed solutions for: [ ] First-order differential equations [ ] Linear homogeneous and inhomogeneous first and second order equations [ ] A equations with separable variables Examples of solvable differential equations: [ ] Simple first-order. Numerical integration of y=f(x)". Study chaos in dynamical systems. Differential Equations. How does Hp prime graphing calculator solve equations, X Y Z W=V ? ‎04-01-2014 10:16 PM Just put all your equations into separate slots in the Solver app, up to ten of them at a time. Predicting the Spread of AIDS. Learn more about matlab, ezplot, plot, differential equations, ode. Your browser doesn't support HTML5 canvas. these are the differential equations that I wanted to plot. More On-Line Utilities Topic Summary for Functions Everything for Calculus Everything for Finite Math Everything for Finite Math & Calculus. Also you will see a red crosshair on the graph on the left side. Mathematical graphing tool for 2D and 3D functions and data. differential equation is the order of the highest derivative involved in the equation. Select Diff Eq from the Graph menu. Mac Grapher can numerically solve several important types of ordinary differential equations (ODEs). odeint to solve and to plot single differential equations, but I have no idea about systems of differential equations. The Test button setup a default differential (for testing only). The DEplot routine from the DEtools package is used to generate plots that are defined by differential equations. and Regge T. 8 Resonance 231 5. The emphasis is on the workd sketching. Agent-based Models Differential Equation • Highly aggregate • Broad boundary • Perfect mixing assumption • Few number of parameters • Computationally reasonable • Continuous time Agent-based • Highly disaggregate • Narrow boundary • Heterogeneity in agent attributes • Large number of parameters. Free second order differential equations calculator - solve ordinary second order differential equations step-by-step. " Emmitt, Wesley College. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Solutions Graph. Browse other questions tagged ordinary-differential-equations graphing-functions vector-fields or ask your own question. A calculator for solving differential equations. Problems range in difficulty from average to challenging. It is also very useful to use Mathematica to graph slope fields, or direction fields. A graphical approach to solving an autonomous differential equation. Through separable differential equations we are able to determine the equation for the relationship between the counter and time. Second, I doubt that OS3 vector fields are more flexible than LNA's. We will see how to solve differential equations later in this chapter. The differential equation is linear. Many mathematicians have. I am new to grapher (mac) and I am trying to graph Lotka-Volterra equations. Tracing a path of vectors yields a solution to the ordinary differential equation at a set of initial conditions. Includes nonlinear curve fitting and integration of coupled ordinary differential equations (ODE's). That's my y-axis. Initial conditions are also supported. The graph of a solution of a differential equation is called an integral curve for the equa- tion, so the general solution of a differential equation produces a family of integral curves corresponding to the different possible choices for the arbitrary constants. 01 is better). Finally, we check the graph of the equation against the graph of our original data. In Figure 3 we have sketched the phase line and graph of f for the differential equation. It can also serve as a means of solution verification if the shape of the graph is known from theory or from plotting the vector field associated with the differential equation. A slope field is a graph that shows the value of a differential equation at any point in a given range. Differential equations are equations that have a derivative. Mathematical graphing tool for 2D and 3D functions and data. These points correspond to the x-intercepts in the graph of the derivative. 1 shows points corresponding to θ equal to 0, ±π/3, 2π/3 and 4π/3 on the graph of the function. The output from DSolve is controlled by the form of the dependent function u or u [x]:. It is shown in this paper that the integration by part identities can be further used for obtaining a. Let us consider the second order differential equation (remember that a function acts on a value). I have the OS 3 and its differential equation grapher can draw plots for several differential equations. It is evaluated in a "with Math" block, so you can use functions such as sin(x) and pow(y,2). The discovery of such compli-cated dynamical systems as the horseshoe map, homoclinic tangles, and the. This is the currently selected item. You should understand that in most cases, a graphing utility will not find the exact solutions of an equation, merely approximations. Worked example: equation from slope field Worked example: slope field from equation - [Voiceover] Let's say that we have the differential equation dy dx or the derivative of y with respect to x is equal to negative x over y. Scilab has a very important and useful in-built function ode() which can be used to evaluate an ordinary differential equation or a set of coupled first order differential equations. Fourier Series and Fourier Series Grapher; Differential Equations. For this particular virus -- Hong Kong flu in New York City in the late 1960's -- hardly anyone was immune at the beginning of the epidemic, so almost everyone was susceptible. Linear DEs of Order 1. Perform the sequence of clicks Window - 2-dim - Equa - Differential - dy/dx to open the differential equation dialog box. Select one or more methods you like to use or compare solving the ordinary differential. Differential equation model and graph question. The general solution. " Or anything like that, are simply asking you to use/plug-in y and y' to the differential equation and make sure the function y actually makes the differential equation true. Get the free "General Differential Equation Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Write an equation of the line satisfying the given conditions. The purpose of this package is to supply efficient Julia implementations of solvers for various differential equations. One of the stages of solutions of differential equations is integration of functions. Additionaly, several textbooks on differential equations refer to and use dfield and pplane. Thus, the equilibria for this model are p e = 0 , 1/2 , and 1. WZGrapher comes with various built-in helperfunctions, such as all of the 12 trigonometric and hyperbolic functions, e. This worksheet details some of the options that are available, in sections on Interface and Options. For example, dy/dx = 9x. It is shown in this paper that the integration by part identities can be further used for obtaining a. In our world things change, and describing how they change often ends up as a Differential Equation: an equation with a function and one or more of its derivatives: Introduction to Differential Equations; Differential Equations Solution Guide; Separation of Variables. This volume addresses major topics, such as multi-objective optimization problems, impulsive differential equations, mathematical modelling, fuzzy mathematics, graph theory, and coding theory. Find the general solution for the differential equation `dy + 7x dx = 0` b. It is also very useful to use Mathematica to graph slope fields, or direction fields. Algorithms, Graph Theory, and Linear Equations in Laplacians 5 equations in a matrix A by multiplying vectors by A and solving linear equations in another matrix, called a preconditioner. Calculation FLOWCHART PROGRAMME LIST(REAL MODE) Entry of data Initial setting Start Gosub Enter Data. (a) On the axes provided, sketch a slope field for the given differential equation at the twelve points indicated. Using the GeoGebra command solveODE you can illustrate numerical solutions to first and second order ordinary differential equations. If P = P0 at t = 0, then P0 = A e0 which gives A = P0 The final form of the solution is given by P (t) = P 0 e k t Assuming P0 is positive and since k is positive,. Begin by writing your equation. A Differential Equation is a n equation with a function and one or more of its derivatives: Example: an equation with the function y and its derivative dy dx. We will not discuss the derivation of this equation here. Browse other questions tagged ordinary-differential-equations graphing-functions vector-fields or ask your own question. Hide Plot ». 4/18/2017 Lesson 8, After Class 4/11 2. Second Order Linear Differential Equations 12. How Graph differential equations with Matlab. Lets choose the origin. An equilibrium solution is a solution to a d. First-order differential equations basically relate an x value, a y value and a gradient, y' at the point (x,y). Since the left- and right- hand sides of the d. Advanced Math Solutions – Ordinary Differential Equations Calculator, Separable ODE Last post, we talked about linear first order differential equations. In other words, Directional Fields are a tool to graphically obtain the solutions to first order differential equations, as nicely stated by SOS Math. Furthermore, the approach used in the last example of finding an equivalent equation of the form x = c always works with linear equations. The SIR Model for Spread of Disease. Ordinary differential equations in three dimensions. A straight graph visually depicts a mathematical function. Coordinate Plane 1 hr 6 min 23 Examples Introduction to Video: Coordinate Plane Overview of the Coordinate Plane, Quadrants and Ordered Pairs Examples #1-11: Graph each point and identify the quadrant Overview of the graph of an equation in two variables What is Linearity? and the 3 types of linear equations Examples #12-17: Sketch the…. Numerical solutions of the equation on graphs and. Conditions for the existence of solutions are determined and investigated. Graphing Differential Equations You can study linear and non-linear differential equations and systems of ordinary differential equations (ODEs), including logistic models and Lotka-Volterra equations (predator-prey models). As there are 3 variables, it is impossible to represent the solution to a DE in a 2D form. Depending on the equation, you can plot the graph in 2D or 3D. Inputting differential equation for graphing. Select New Differential Eqn - First Order from the Work menu. Linear DEs of Order 1. 2 in Blanchard's DE text. (b) Are there any explicit solutions of y dy/dx = 3x that pass through the origin? In Problems 35-38 the graph of a member of a family of solutions of a second-order differential equation d2y/dx2 = f(x, y, y') is given. I II III IV (a) y. This is my x-axis. First go to the Algebra Calculator main page. The calculator will find the solution of the given ODE: first-order, second-order, nth-order, separable, linear, exact, Bernoulli, homogeneous, or inhomogeneous. First, a solution of the first order equation is found with the help of the fourth-order Runge-Kutta method. A differential equation (de) is an equation involving a function and its deriva-tives. Iq equations decimals, f 1 exam paper download, algebrator for students, graph with the slope -3 passing through (-5,1), system of eqautions with an arithemtic sequence and a solution of (-1,2), use matlab to solve multivariable equations, differential maths square. Differentiation is the process of finding a derivative. This chapter provides a starting point for a journey into the branch of scientific computing that is concerned with the simulation of differential problems. Differential Equations Calculator. Differential Equations Calculators; Math Problem Solver (all calculators) Differential Equation Calculator. Nonlinear equations appear curved when graphed and do not have a constant slope. So here is this wooden plank A (straight one) and B (a curved one). Equations are mathematical statements, often using variables, that express the equality of two algebraic expressions. Now we have two differential equations for two mass (component of the system) and let's just combine the two equations into a system equations (simultaenous equations) as shown below. Mathematical graphing tool for 2D and 3D functions and data. Consider the autonomous differential equation where f(y) is a function. Second Order Linear Equations and the Airy Functions: Why Special Functions are Really No More Complicated than Most Elementary Functions % We shall consider here the most important second order % ordinary differential equations, namely linear equations. 0 : Return to Main Page. First, understanding direction fields and what they tell us about a differential equation and its solution is important and can be introduced without any knowledge of how to solve a differential equation and so can be done here before we get into solving them. "Solving the equation" means finding a closed form expression for y(x). 7 Polar Equations By now you've seen, studied, and graphed many functions and equations - perhaps all of them in Cartesian coordinates. There are homogeneous and particular solution equations, nonlinear equations, first-order, second-order, third-order, and many other equations. differential equation on graphs and digital n-dimensional manifolds, which are digital models of continuous n-manifolds. For example, if the two i/p voltages are equal, then the o/p will not be zero, A more accurate expression for a differential amplifier comprises a second term. The discovery of such compli-cated dynamical systems as the horseshoe map, homoclinic tangles, and the. Numerical solutions of the equation on graphs and. I would sure appreciate knowing how you did that. " Ghader Yosefi, Iran. Conditions for the existence of solutions are determined and investigated. Discover Resources. How do you like me now (that is what the differential equation would say in response to your shock)!. Graphing Systems of Differential Equations. Decide which Is the correct equation and justify your answers. Also you will see a red crosshair on the graph on the left side. The topic is ``differential equations on graphs". Get the free "General Differential Equation Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Browse other questions tagged ordinary-differential-equations graphing-functions vector-fields or ask your own question. Underneath the graph is a differential equation and its solution. There are standard methods for the solution of differential equations. This java applet displays solutions to some common differential equations. I need to graph the equation vdv/dx=9. Click and drag the points A, B, C and D to see how the solution changes across the field. ClassPad differential equation application provides the function to draw a vector field, solution curve and graph for 1st-order differential equation, Nth-order differential equation and a system of two equations. Email: [email protected] Solutions to single autonomous differential equation problems by Duane Q. Introduction to Differential Equations Part 1: The spread of a rumor. Now change to the "Isoclines" menu, and you can plot isoclines. The word graph is used in another way completely for some.