5. Consider the second order ODE: u" + 0.25u' + 4u = 2 cos(3t) Transform the ODE into a system of first order equations. You do not need to solve the ODE.
5. Consider the second order ODE: u" + 0.25u' + 4u = 2 cos(3t) Transform the ODE into a system of first order equations. You do not need to solve the ODE.
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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Please solve question 5.

Transcribed Image Text:4. Verify that xı = e* + te* , x2 = et – teť is a solution to the given system:
x = 2x1 + x2
et
x2 = 3.x1 + 4.x2 – 7et
5. Consider the second order ODE:
u" + 0.25u' + 4u = 2 cos(3t)
Transform the ODE into a system of first order equations. You do not need to solve the ODE.
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