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Use the Laplace transform to solve the given initial-value problem. y(t) = y""+ 2y" - y' - 2y = sin(4t), y(0) = 0, y'(0) = 0, y"(0) = 1

Use the Laplace transform to solve the given initial-value problem. y(t) = y""+ 2y" - y' - 2y = sin(4t), y(0) = 0, y'(0) = 0, y"(0) = 1

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.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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Use the Laplace transform to solve the given initial-value problem. y(t) y"" + 2y" - y' - 2y = sin(4t), y(0) = 0, y'(0) = 0, y"(0) = 1
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y(t) y"" + 2y" - y' - 2y = sin(4t), y(0) = 0, y'(0) = 0, y"(0) = 1
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