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Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 13y = 8(t) + 8(t-7), y(0) = 1, y'(0) = 0 y(t) = )+([ ) . U(t − x) + ( -3t+21x 2 -sin(2t - 14π) ).u(t - 7h

Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 13y = 8(t) + 8(t-7), y(0) = 1, y'(0) = 0 y(t) = )+([ ) . U(t − x) + ( -3t+21x 2 -sin(2t - 14π) ).u(t - 7h

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
Section9.2: Partial Derivatives
Problem 30E
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Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 13y = 8(t− n) + 8(t - 7л), y(0) = 1, y'(0) = 0 = (I y(t) = X + X ). u( t − ₁) + ( e -3t+21π 2 -sin(2t - 14π) ).u(t - 7n
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. y" + 6y' + 13y = 8(t− n) + 8(t - 7л), y(0) = 1, y'(0) = 0 = (I y(t) = X + X ). u( t − ₁) + ( e -3t+21π 2 -sin(2t - 14π) ).u(t - 7n
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