CDESOLVE numerical simultaneous ODE solver



CDESOLVE numerical simultaneous ODE solver

CDESOLVE revised vesion 1.0.1 is a numerical ODE solver capable of solving up to 4 nonlinear simultaneous differential equations using a second order Runge-Kutta method also known as Heun's method. The purpose of CDESOLVE is to bring some of the functionality of the TI-86 to the TI-84. CDESOLVE can for example be used to solve the well-known Lotka-Volterra predator-prey equations and plot the number of rabbits versus the number of foxes, or it can be used to solve up to 4th order non-linear ordinary differential equations.

2-Point Differential Equation Solver

This program is designed to solve a differential equatio give two points and the amount of time necessary.

Improved Euler's Method v1.1

Numerical solution for differential equations. Same as Euler's method, but more accurate. Table and graph option included.

Newton's Law of Cooling

This program works with Newton's Law of Cooling. It will give final temp, a graph, the cooling rate and the time spent. Enjoy!

Derive

This file includes two programs for symbolic differentiation and calculation of MacLaurin polynomials. But the hard work is done by the Symbolic and PrettyPrint apps.

Diff Eq's Help - 2nd Order Nonhomogeneous ODEs

Displays several formulae relevant to finding particular solutions to nonhomogeneous second-order linear differential equations. Includes formulae for the undetermined coefficients and variation of parameters methods for finding particular solutions. Also includes relevant formulae for finding the particular (steady state) solutions to driven, damped spring-mass systems.

Runge-Kutta

This program uses the standard Runge-Kutta method for solving an ODE. Enjoy!

Runge-Kutta 4 Method

Uses the Runge-Kutta 4-slope method to numerically approximate the solutions of first-order differential equations. Also stores data from intermediate steps in lists to aid in showing work.

Runge Kutta's Method v1.1

Numerical solution for differential equations. Same as Improved Euler's method, but more accurate. Table and graph option included.

Slope Field

This program calculates a slope field for a given derivative. The slopes can be defined in terms of both y and x. There are also many menus that allow you to customize your slope field. You can set the window and the amount of resolution. It eats up a ton of memory while you're running it, so you may need to either archive things, or set the resolution to "low". This updated version fixes a minor bug and causes the program to run much faster than before. It also provides an opportunity to input a solution to the differential equation and view its graph on the slope field.

Slope Field v1.1

Graphs the slope field for a differential equation.

Slope Field

Slope Field allows you to draw slope fields quickly and easily on your TI-83/84+. Simply enter the derivative and watch the program generate the slope field right on the graph screen! In-program options include changing the number of slope lines, adjusting the window, and turning the axes off and on. Great for calculus and compatible with MirageOS.

Comprehensive Slope Fields

This program will graph the slope field for a given dy/dx equation, allow you to modify the viewing window, display the slope at a given (x,y) point, and overlay the original (antiderivative) equation over the slope field, so you can see the relationship better. Useful for Calculus AB, BC, and up. Unlike many other slope field programs, this one: has a variable frequency for how often/large the slope marks are (set as a grid on the x/y axis tick marks), overcomes "divide by zero" errors encountered with equations like -x/y, is speed-optimized, and comes with a variety of options.

Slope Field Creator for Calculus

This program allows the user to show the slope field plot of a function given the function of its derivative. It is used in high school to college level calculus classes such as calculus AB, BC, or others. Updated June 2007.

Slope Field Program

This program draws the slope field for a given differential equation of the form y' = f(x,y). It will also superimpose user-specified solution curves of the form y = F(x) on the slope field. Strengths of program: (1) Optimized for speed (e.g., slope field is saved and then re-used rather than re-generated when solution curves are graphed). (2) Flexible (e.g., settings for the window variables and slope-field lattice are user-specified and independent of each other). (3) Easy data entry and navigation (e.g., cancellation reminders are on data-entry screens).

Slope Field v1.11

This program displays the slope field for a differential equation.

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