Find a general solution to the differential equation. 1 1 y"+ + 2y = 2 tan 2t e³t 3 2 The general solution is y(t) = c₁ cos (2t) + C₂ sin (2t) - -3e³t – In sec (2t) + tan (2t)| cos (2t) . 39

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find a general solution to the differential equation.
1
1
y"+
+ 2y = 2 tan 2t
e³t
3
The general solution is y(t) = c₁ cos (2t) + C₂ sin (2t) -
2
3³t - In sec (2t) + tan (2t) cos (2t) .
39
Transcribed Image Text:Find a general solution to the differential equation. 1 1 y"+ + 2y = 2 tan 2t e³t 3 The general solution is y(t) = c₁ cos (2t) + C₂ sin (2t) - 2 3³t - In sec (2t) + tan (2t) cos (2t) . 39
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