Transform the differential equation 5/" +17/" - 80/- 272y = 2e * (0) = 0 /(0) = 0 /(0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y () Therefore Y

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Transform the differential equation
5y" + 17y/" - 80/ – 272y = 2e
y(0) = 0
/(0) = 0
/(0) = 1
into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s).
Therefore
Y
14
Taking the inverse Laplace transform we get
Transcribed Image Text:Transform the differential equation 5y" + 17y/" - 80/ – 272y = 2e y(0) = 0 /(0) = 0 /(0) = 1 into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s). Therefore Y 14 Taking the inverse Laplace transform we get
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