MA2051 - Ordinary Differential Equations
Maple Worksheets - A97

Worksheet Description
Introduction Brief introduction to dsolve and DEplot
Euler #1 Simple blocks of Maple instructions that will do Euler's method for you.
Undetermined Coefficients #1 A simple block of Maple commands that will do all of the dirty work of undetermined coefficients for you. (A great way to check your answers.)
Euler #2 This turns the second-order equation into a system and runs Euler's method to build an approximate solution. Have fun!
Resonance This worksheet generates handles the "general" damped, forced spring-mass system. It allows you to plot the amplitude as a function of the forcing frequency.
Limiting Behavior This worksheet generates graphs in the phase plane for spring-mass systems. Some of the commands here can be useful when you start work on Project 2.
The REAL Pendulum This worksheet generates solution curves for the real, nonlinear pendulum and allows you to compare the results with the linearized model.
Competing Species This worksheet generates solution curves for a population model where two species compete for limited resources.

Art Heinricher <>
Last modified: Tue Oct 7 11:41:44 EDT 1997