Find a general solution to the differential equation. 1 1 4" + 4y = tan 4t-=-e²t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find a general solution to the differential equation.
1
1
v + 4y = tan 4t-e²t
2
1
The general solution is y(t) = c₁ cos 4t + C₂ sin 4t -
10
1
e²t-In sec 4t + tan 4t| cos 4t .
4
Transcribed Image Text:Find a general solution to the differential equation. 1 1 v + 4y = tan 4t-e²t 2 1 The general solution is y(t) = c₁ cos 4t + C₂ sin 4t - 10 1 e²t-In sec 4t + tan 4t| cos 4t . 4
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