I tried to solve this differential equation, but any method doesnt work me.
I appreciate your help.
I see some symmetries in your DE of which we might want to take advantage. For example:
I'm thinking a substitution of the form or might be good to try. If we have , then and
. It follows, then, that the DE becomes
The resulting DE is separable.
Conversely, if you try then and thus The DE becomes
I don't see how this substitution will help you as much as the other one.