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Solve the initial value problem using Laplace Transform Method y" - 4y = sin 2t y0) = 3, y'(0) = 0 40 -e4t + 10cos 2t + 212 5 -sin 2t 11 y(t) = -8+ 40 yt) = -8+ 212 -4t + 10sin 2t + Cos 2t 11 1 121 1 -e4t + cos 2t + 11 yt) = 5 -sin 2t 8 40 10 121 1 + 8. 1 -sin 2t + 10 11 -cos 2t -4t ylt) e + 40

Solve the initial value problem using Laplace Transform Method y" - 4y = sin 2t y0) = 3, y'(0) = 0 40 -e4t + 10cos 2t + 212 5 -sin 2t 11 y(t) = -8+ 40 yt) = -8+ 212 -4t + 10sin 2t + Cos 2t 11 1 121 1 -e4t + cos 2t + 11 yt) = 5 -sin 2t 8 40 10 121 1 + 8. 1 -sin 2t + 10 11 -cos 2t -4t ylt) e + 40

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 the initial value problem using Laplace Transform Method y" - 4y = sin 2t y(0) = 3, y'(0) = 0 40 e4t -8+ 212 + 10cos 2t +- y(t) sin 2t 11 40 e-4t + 10sin 2t + 212 5 y(t) = -8+ Cos 2t 11 121 -e4t + 40 1 yAt) = 1 Cos 2t + 10 11 sin 2t 5 8 1 121 e 40 1 11 yt): 8 - sin 2t + - cos 2t 10 5
Transcribed Image Text:Solve the initial value problem using Laplace Transform Method y" - 4y = sin 2t y(0) = 3, y'(0) = 0 40 e4t -8+ 212 + 10cos 2t +- y(t) sin 2t 11 40 e-4t + 10sin 2t + 212 5 y(t) = -8+ Cos 2t 11 121 -e4t + 40 1 yAt) = 1 Cos 2t + 10 11 sin 2t 5 8 1 121 e 40 1 11 yt): 8 - sin 2t + - cos 2t 10 5
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