MATH 244/3

URI/Spring 2004

Instructor: Prof. M. Kulenović

Maple Project #3

                                                                                                               Kingston, 4/27/2004

Project is due 5/03/2004

The objective of this project is to use Maple's symbolic manipulation capabilities to solve certain differential equations and to use Maple's graphics capabilities to plot the required solutions of these equations.

Use Maple's worksheet that you will find in:

http://www.math.uri.edu/~kulenm/m244sp04/m244sp04hp.html







1. Solve the following initial value problem by the standard numerical method MATH implemented in Maple:


MATH

$\allowbreak $

Plot this numerical solution together with the exact solution obtained by applying dsolve command on the interval $[0,1].\allowbreak $

$\allowbreak $

2. Solve the following initial value problem by the standard numerical method MATH implemented in Maple:


MATH

Find the numerical solution by using Euler method on $[-1,1]$ using the step $h=.05.$

Plot these numerical solutions together on the interval MATH

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