(adsbygoogle = window.adsbygoogle || []).push({}); second order nonlinear ODE -- not autonomous

This equation has arisen from a steady state problem of diffusion with nonlinear reaction:

(dependent var=c; independent variable=x)

c'' = ko + k1 c + k2 c^2 + k3 c x

ko, etc are constants.

I can obtain a solution if I drop the last term which involves the product of the dependent and independent variable. Is there any way to get a solution with this term?

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# Second order nonlinear ODE - not autonomous

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