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Find the general solution of the given differential equation using variation of parameters. I y" +9y = 9sec²3t, 0 < t <- 6 O y = c₁ cos 3t + c₂ sin 3t - sec 3t + In [sec 3t + tan 3t| y = c₁ cos 3t + c₂ sin 3t - sec 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - cos 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - 1 + sin (3t) In [sec 3t + tan 3t|

Find the general solution of the given differential equation using variation of parameters. I y" +9y = 9sec²3t, 0 < t <- 6 O y = c₁ cos 3t + c₂ sin 3t - sec 3t + In [sec 3t + tan 3t| y = c₁ cos 3t + c₂ sin 3t - sec 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - cos 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - 1 + sin (3t) In [sec 3t + tan 3t|

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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Find the general solution of the given differential equation using variation of parameters. π y" +9y = 9sec²3t, 0 < t <- 6 O y = c₁ cos 3t + c₂ sin 3t - sec 3t+ In [sec 3t + tan 3t| y = c₁ cos 3t + c2 sin 31 sec 3t+ sin (3t) In [sec 3t + tan 3t| c₁ cos 3t+c₂ sin 3t - cos 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - 1 + sin (3t) In [sec 3t + tan 3t| O y = -
Transcribed Image Text:Find the general solution of the given differential equation using variation of parameters. π y" +9y = 9sec²3t, 0 < t <- 6 O y = c₁ cos 3t + c₂ sin 3t - sec 3t+ In [sec 3t + tan 3t| y = c₁ cos 3t + c2 sin 31 sec 3t+ sin (3t) In [sec 3t + tan 3t| c₁ cos 3t+c₂ sin 3t - cos 3t+ sin (3t) In [sec 3t + tan 3t| O y = c₁ cos 3t + c₂ sin 3t - 1 + sin (3t) In [sec 3t + tan 3t| O y = -
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