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Transform the differential equation 9y" +14-81 - 126y= 5et y(0) = 0 3/(0) = 0 3'(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)). 0-0 Therefore Y - 8+1 Taking the inverse Laplace transform we get

Transform the differential equation 9y" +14-81 - 126y= 5et y(0) = 0 3/(0) = 0 3'(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)). 0-0 Therefore Y - 8+1 Taking the inverse Laplace transform we get

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transform the differential equation into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 Therefore Y - +3 8+1 9y" + 14"-81y - 126y=5e-t y(0) = 0 /(0) = 0 y" (0) = 1 Taking the inverse Laplace transform we get
Transcribed Image Text:Transform the differential equation into an algebraic equation by taking the Laplace transform of each side. Use Y for the Laplace transform of y, (not Y(s)). 0-0 Therefore Y - +3 8+1 9y" + 14"-81y - 126y=5e-t y(0) = 0 /(0) = 0 y" (0) = 1 Taking the inverse Laplace transform we get
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