I would like to solve the non linear ODE(adsbygoogle = window.adsbygoogle || []).push({});

[itex] \frac{d}{dx}f(x)=a f(x)+ b f^3 (x)[/itex]

with the boundary

[itex]f(0)=0\quad f(+\infty)=f_0 [/itex]

How to find analitical solution?

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# Non linear ODE: y'' = a y + b y^3

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