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y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

y" + 4y' + 5y = 50t, y(0) = 5, y'(0) = −5 -5

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 Review Purposes.

Solutions of DE via Laplace Transform

Solve for the solution of the following DEs

y" + 4y' + 5y = 50t, y(0) = 5, a. e e−²t (13 cost + 11 sin t) + 10t² −8 b.e-2t (13 sint + 11 cost) + 10t - 8 2t c. e²t (13 cost + 11 sin t ) + 10t - 8 d.e-2t (13 cost + 11 sin t) + 10t – 8 - y'(0) -5
Transcribed Image Text:y" + 4y' + 5y = 50t, y(0) = 5, a. e e−²t (13 cost + 11 sin t) + 10t² −8 b.e-2t (13 sint + 11 cost) + 10t - 8 2t c. e²t (13 cost + 11 sin t ) + 10t - 8 d.e-2t (13 cost + 11 sin t) + 10t – 8 - y'(0) -5
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