Find a general solution to the differential equation. 1 y" +2y=2 tan 21-² out 2 The general solution is y(t) = c₁ cos (21) + c₂ sin (21) 39 In sec (2t) + tan (2t)| cos (21)

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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Find a general solution to the differential equation.
1
2" +2y=2 tan 2t-
e³t
The general solution is y(t) = c₁ cos (2t) + c₂ sin (2t) -
In sec (2t) + tan (2t)| cos (2t).
Transcribed Image Text:Find a general solution to the differential equation. 1 2" +2y=2 tan 2t- e³t The general solution is y(t) = c₁ cos (2t) + c₂ sin (2t) - In sec (2t) + tan (2t)| cos (2t).
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