I've got a ordinary differential equation basically on this form: $$ \frac{(f'(x))^2 x^2}{\sinh^2\left(2\,q\,f(x)\right)}+K^2\sinh^2\left(2\,q\,f(x)\right)=\frac{a}{q^2} $$ where $q>0$, $f(x)>0 $, and everything here is real. I would like a solution valid for all $x$, not a particular $x$. Does someone have a clue as to how I can proceed with this? Thanks for any help!
Best regards, Jakob