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Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and = 7. dt Using Laplace transform, show that the solution is x = 4et + e³t

Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and = 7. dt Using Laplace transform, show that the solution is x = 4et + e³t

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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 11E
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Given a second order differential equation d²x dx - 3 + 2x = 2e³t dt² dt dx where t = 0, x = 5 and 7. dt Using Laplace transform, show that the solution is X= 4et + e³t
Transcribed Image Text:Given a second order differential equation d²x dx - 3 + 2x = 2e³t dt² dt dx where t = 0, x = 5 and 7. dt Using Laplace transform, show that the solution is X= 4et + e³t
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