MATH 244/1

URI/Spring 2005

Instructor: Prof. M. Kulenović

Maple Project 3
Due date: May 10, 2005

                                                                                                                                                                                                           Kingston, 4/27/2005

The objective of this project is to use Maple's symbolic manipulation capabilities to solve numerically 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/m244sp05

1.
(a)  Solve the following initial value problem by the standard numerical method implemented in Maple:
y'  =   x2  +  sin(2y)
y(0) = 1.
(b) Plot the solution of this initial value problem for the step sizes h = 0.01 and h = 0.05 on interval [0, 2].


2.
(a)  Solve the following initial value problem by the standard numerical method implemented in Maple:
y'  =   sin(x)  +  y3
y(0) = 1.
(b) Plot the solution of this initial value problem together with the solution obtained by using Euler's method for the step size h = 0.01 on interval [0, 2].