Differential Equations Made Easy for the TI89/Titanium/92+/Voyage200

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Scroll down to select APP and observe the provided
Step by Step solutions to the right. It is worldwide the only Math software that can do this!!!

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Version 7.0 updated 3/2010 - Read the DEQME User Guide

Download DEQME here.

F1: 1. Order F2: 2. Order F3: Higher Order F4: Partial
DEqns F5: Transforms F6: More F7: Exit

1 Basics + Definitions Any 2. Order DiffEqn Linear & Constant Coefficients PDE-Basics LaPlace-Definition and Examples Find EigenValues and EigenVectors - Step by Step Exit

2 Any 1. order DiffEqn Homogeneous 2x2 Linear System:
x'=a*x+b*y
y'=c*x+d*y LaPlace Equation Solve Diff Eqn using LaPlace Transform - Step by Step Rate Problems About

3 Separable
- Step by Step Non-Homogeneous X' = A* X Diffusion Equation Do LaPlace Transform Salt in Tank - type Diff Eqns. Reset Constants to @1

4 Find Differential DiffEqn Checker X' = A* X + F Wave Equation Do Inverse LaPlace Transform Find Wronskian Notes

5 Homogeneous
- Step by Step IVP Solver Separable Diff Eqn Helmholtz Equation Do Inverse LaPlace - STEPS for partial fractions and linear numerators Annihilator Method

6 Exact
- Step by Step Variation of Parameter - Step by Step Poisson Equation Fourier Series - Stepwise Do Picard Method

7 Non-exact
- Step by Step Undetermined Coefficients
- Step by Step Discrete Fourier Transform (DFT, FFT) Error Function

8 Linear in x -
Step by Step with Integrating Factor Bessel DiffEqn Partial Fraction Decomposition (Steps) Phase Line

9 Linear in x - Step by Step using Variation of Parameter Reduction of Order Complex Partial Fraction Decomposition (Steps)

A Linear in y -
Step by Step with Integrating Factor Legendre DEQ

B Linear in y - Step by Step using Variation of Parameter Cauchy-Euler DEQ

C M(x,y)dx+N(x,y)dy
- Step by Step

D N(x,y)*y'+M(x,y)=0
- Step by Step

E DiffEqn Checker

F RL Circuits

G Bernoulli
- Step by Step

H Clairaut Equation

I Lagrange (d'Alembert) Equation

J Linear Fractions

K Slope Field

L Particular Solution

M Euler's Method

N Runge Kutta

O Midpoint

User C. F.:
"The additions such as step by step exact DE, step by step homogeneous and step by step bernoulli are fantastic and would definitely make differential equations made easy an excellent study tool for anyone. Or it can be used as a quick solver to check steps. I think it's the best software of it's kind."

User A.M.:
I just have to give it to you guys for the great job you are doing. I was using the salt in tank program and it works flawlessly, its beyond everything I expected. Thanks again

User J. P.:
I highly recommend DME, it is unlike anything else out there. The ability to solve nearly any first and second order differential equation makes almost as powerful as a computer. Great for solving HW problems and the step-by-step function helped me to find my mistakes, which makes it better than a computer! I love the phase line tool and the step-by-step Inverse LaPlace function. It is a great learning tool. – modem designer

2.2 Separable Differential Equations Module

Option# in head menu	F1: Enter DEQ	F2: Solve DEQ	F3: Steps	F4: Compute	F5: Graph	F6: Euler	F6: Exit Return to main screen)
1	dy/dx = f(x,y) Any separable Diff Eqn.	Solve dy/dx = f(x,y)	Show Steps	Compute y(a)	Graph Slope Field	Approximate analyt. solution to Diff Eqn. upon entering (x₀,y₀), step size and #points.	F6: Exit Return to main screen)
2	y'(t) = k*y(t) Exponential Growth	Solve y'(t) = k*y(t) Exponential Growth		Solve y(x)=C	Graph Particular Solution
3	y'(t) = k*(y(t)-A) Ex: Newton's Law of Cooling	Solve y'(t) = k*(y(t)-A) Ex: Newton's Law of Cooling		Tangent at x=a	Clear Graph
4	y'(t) = k*(A-y(t)) Ex: Wolves problem	Solve y'(t) = k*(A-y(t)) Ex: Wolves problem		Find d²y/dx²	Select Window Size define xmin, xmax, ymin, ymax, # vertical and horiz. lines
5	y'(t) = ky(A-y) Logistic Growth	Solve y'(t) = ky(A-y) Logistic Growth		Limit x-> infinity