- #1

cyturk

- 8

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## Homework Statement

Find the general solution for a nonhomogenous equation.

y''+4y=3csc2t

## Homework Equations

## The Attempt at a Solution

I simplified the equation to...

y''+4y=(3)/(sin(2t))

Then I guessed...

y=Asint+Bcost

y'=Acost-Bsint

y''=-Asint-BcostThen I got...

-Asint-Bcost+4Asint+4Bcost=(3)/(sin(2t))

Simplifies to...

3Asint+3Bcost=(3)/(2sintcost))

NOTE: Trig Identity: sin(2t)=2sintcost

I am stuck and I am not even sure if I took the correct steps.

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