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Here is an equation that I have tried for few days to solve and still haven't succeeded, I'm interested to solve this 4th order wave equation to find u(x).

∫∫(A u(x) + B u(x)^{2}+ C u(x)^{3}+D u''(x)) dx dx=0

the 4th term is second derivative of displacement u(x). I assume constants are zero.

I would appreciate any hint or comment.

Thanks

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# Solution for higher order wave ODE

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