Using Laplace and Inverse Laplace Transformation, find the particular solution of the following: a) x" + 4x' + 5x = 8 sin t; when t 0, x = 0, and x' = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 59E
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Using Laplace and Inverse Laplace Transformation, find the particular
solution of the following:
a) x" + 4x' + 5x
8 sin t; whent = 0,x = 0, and x' = 0
b) x" + 9x = 81t² + 14 cos4t; when t =
0, x = 0, and x' = 3
Transcribed Image Text:Using Laplace and Inverse Laplace Transformation, find the particular solution of the following: a) x" + 4x' + 5x 8 sin t; whent = 0,x = 0, and x' = 0 b) x" + 9x = 81t² + 14 cos4t; when t = 0, x = 0, and x' = 3
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