Solve by variation of parameters. I'm so close on this... I just got to put it in the correct format.
y''+y=cscx

Question

Solve by variation of parameters. I'm so close on this... I just got to put it in the correct format. 
y''+y=cscx

usukidoll · Answer

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usukidoll · Answer

answer is y=(c1-x)cosx+(c2+ln(sinx))sinx
I got these terms in separate areas...do I combine them?

usukidoll · Answer

attachment

usukidoll · Answer

like that? since if yh = c1cosx+c2sinx and yp = -xcosx+ln(sinx)sinx?
then yh+yp

usukidoll · Answer

and factor

usukidoll · Answer

@phi

phi · Answer

yes, the complete solution is  y = yp + yh

phi · Answer

which you can write as you posted:
y=(c1-x)cosx+(c2+ln(sinx))sinx

usukidoll · Answer

whoa for a second I thought you were just a trolling account stalking my page, but it seems that you know a lot of stuff

usukidoll · Answer

I'm currently doing another one of these problems. wanna help? like I'm getting there...just doing integration

usukidoll · Answer

k :(