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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 =

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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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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