Looking for Nonlinear 2nd Order DE with Known Solution?

[elegysix]

Hello,
Does anyone know of a nonlinear 2nd order DE which must be solved numerically?

I've got a new idea about how tackle it analytically...

So I need one with a known solution to check my results.thanks!

 

[JJacquelin]

Hello,
Does anyone know of a nonlinear 2nd order DE which must be solved numerically?

I've got a new idea about how tackle it analytically...

So I need one with a known solution to check my results.


thanks!

The Bernoulli and the Riccati equations are non-linear PDE that can be analytically solved
.