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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!
Original post by spacewalker
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!


Sorry to see you have not had a response. It's been a while since I've used hyperbolic functions so I can't really help, but try posting in the maths forum and you will get a response.
https://www.thestudentroom.co.uk/forumdisplay.php?f=38

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