URI/Spring 2004

Instructor: Prof. M. Kulenović

**Maple Project #2**

Kingston, 4/198/2004

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 method of Laplace transform implemented in *Maple:*

Then find the exact solution by applying dsolve command.

**2. **Compute the first twenty terms of the power series
solution
about the initial point** **for the following initial value
problem for *Chebyshev*'s equation:

Find the recurrence relation satisfied by

Plot this approximate solution together with the exact solution obtained by applying dsolve command on the interval

**3. ** Compute the first twenty terms of the power series
solution
about the initial point** **for the following initial value
problem:

Plot this approximate solution on the interval

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