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For the DE: y + 2y = f(t) with initial conditions y(0) = 5,y (0) = 1 1 if 0 ≤ t

For the DE: y + 2y = f(t) with initial conditions y(0) = 5,y (0) = 1 1 if 0 ≤ t

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
Section9.3: Maxima And Minima
Problem 1YT
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For the DE: y + 2y = f(t) with initial conditions y(0) = 5, y (0) = 1 if0≤t<n ift Σπ (a) Rewrite f(t) using a unit step function 1. where f(t) = { 1 3 cos t (b) Solve the DE using the Laplace Transform method, showing all steps.Write your final answer as a piecewise function.
Transcribed Image Text:For the DE: y + 2y = f(t) with initial conditions y(0) = 5, y (0) = 1 if0≤t<n ift Σπ (a) Rewrite f(t) using a unit step function 1. where f(t) = { 1 3 cos t (b) Solve the DE using the Laplace Transform method, showing all steps.Write your final answer as a piecewise function.
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