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Solve using Laplace Transform y" - 2y + 2y = et ; y(0) = 1, y'(0) = 1 O y = (1/5)(e^-t + 4e^tcost - 2e^tsint) O y = (1/5)(e^t + 4e^tcost + 2e^tsint) O y = (1/5)(e^-t + 4e^-tcost + 2e^tsint) O y = (1/5)(e^-t + 4e^tcost + 2e^tsint)

Solve using Laplace Transform y" - 2y + 2y = et ; y(0) = 1, y'(0) = 1 O y = (1/5)(e^-t + 4e^tcost - 2e^tsint) O y = (1/5)(e^t + 4e^tcost + 2e^tsint) O y = (1/5)(e^-t + 4e^-tcost + 2e^tsint) O y = (1/5)(e^-t + 4e^tcost + 2e^tsint)

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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Solve using Laplace Transform y" - 2y + 2y = et ; y(0) = 1, y'(0) = 1 O y = (1/5)(e^-t + 4e^tcost - 2e^tsint) O y = (1/5)(e^t + 4e^tcost + 2e^tsint) y = (1/5)(e^-t + 4e^-tcost + 2e^tsint) Oy (1/5)(e^-t + 4e^tcost + 2e^tsint) =
Transcribed Image Text:Solve using Laplace Transform y" - 2y + 2y = et ; y(0) = 1, y'(0) = 1 O y = (1/5)(e^-t + 4e^tcost - 2e^tsint) O y = (1/5)(e^t + 4e^tcost + 2e^tsint) y = (1/5)(e^-t + 4e^-tcost + 2e^tsint) Oy (1/5)(e^-t + 4e^tcost + 2e^tsint) =
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