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Finding particular integral

I am given a second order differential equation and on RHS I have a function y=coshxcosh2x. To solve the differential equation I need to find the particular integral for RHS and I did not manage to find one. So far I have tried expressing y=coshx(1+2sinh^2x) and also guessing a particular integral to be y=acoshxcosh2x + bsinhxsinh2x but it did not work.

I was wondering if someone could advise which particular integral to choose.
Thank you!
Reply 1
Original post by TeeEm
....exponentials

Oh right! thank you!

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