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Transform the differential equation 9y""+75y"-225y' - 1875y=3e-8t y(0) = 0 y'(0) = 0 y"(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=0 1 =0+0+0+8 5+ Taking the inverse Laplace transform we get Y =

Transform the differential equation 9y""+75y"-225y' - 1875y=3e-8t y(0) = 0 y'(0) = 0 y"(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=0 1 =0+0+0+8 5+ Taking the inverse Laplace transform we get Y =

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 9y""+75y"-225y' - 1875y=3e-8t y(0) = 0 y'(0) = 0 y"(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=0 1 =0+0+0+8 5+ Taking the inverse Laplace transform we get Y =
Transcribed Image Text:Transform the differential equation 9y""+75y"-225y' - 1875y=3e-8t y(0) = 0 y'(0) = 0 y"(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=0 1 =0+0+0+8 5+ Taking the inverse Laplace transform we get Y =
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