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Use the Laplace transform to solve the given initial value problem. (a). y'' — y' — 6y = 4 − u2(t); y(0) = 1, y'(0) - = −1 (b). y" + 3y' + 2y = sin(2t — 6)u3(t); y(0) = 1, y'(0) = 0

Use the Laplace transform to solve the given initial value problem. (a). y'' — y' — 6y = 4 − u2(t); y(0) = 1, y'(0) - = −1 (b). y" + 3y' + 2y = sin(2t — 6)u3(t); y(0) = 1, y'(0) = 0

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. (a). y'' — y' — 6y = 4 − u2(t); y(0) = 1, y'(0) - = −1 (b). y" + 3y' + 2y = sin(2t — 6)u3(t); y(0) = 1, y'(0) = 0
Transcribed Image Text:Use the Laplace transform to solve the given initial value problem. (a). y'' — y' — 6y = 4 − u2(t); y(0) = 1, y'(0) - = −1 (b). y" + 3y' + 2y = sin(2t — 6)u3(t); y(0) = 1, y'(0) = 0
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