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Part of my research, I nondimensionalized an ODE to eventually arrive at this form:

sin(τλ) = q^((n+2)/(n+1)) + κq' + q''

where q' = dq/dτ

The problem is of course the nonlinear q^n. n is an integer greater than 0.

Is there a Laplace transform for this?

Or what solutions are there for this kind of equation?

Thanks!

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# Nonlinear differential equation (Laplace transform?)

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