EXAMPLES FOR EXAM III

EXAMPLES FOR EXAM III

Variation of Parameters

Laplace Transform

Maple Worksheet

Maple command for a partial fraction decomposition

Solution Graph

Maple Algebra Worksheet

Laplace Transform Example With Lots Of Algebra

Solution Graph

Maple Command to Simplify

Laplace Transform Example With A Maple Worksheet And Powerpoint Presentation

Graph of the Solution Maple Worksheet Powerpoint Presentation

Below are solutions to a first order differential equation using the fact that it is linear, using undetermined coefficients, using a y_p integration formula, using the Laplace Transform, and some discrete solution points using Euler's Method.

First Order Linear Approach	Using Undetermined Coefficients
Using the Laplace Transform	Using a y_p Integration Formula

Graph of the Analytical Solution with Discrete Euler Solution Points

Excel Graph with a Step Size of pi/8

A Series Solution (Next Unit)

Series Approximation in blue Maple Worksheet

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Lane Vosbury, Mathematics, Seminole State College email: vosburyl@seminolestate.edu