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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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