Solving $f'''+\frac{n+1}{2}ff''-nf'^2+n=0$ with $n=e^\pi$ How do I solve
$$f'''+\frac{n+1}{2}ff''-nf'^2+n=0$$
with $n=e^\pi$ or arbitrary $n$?
This equation occurs in my model for the time evolution of the value of Bitcoin.

Similar to How do you solve this kind of third order ODE? (non-linear Blasius equation),
Let $u=(f')^2$ ,
Then $\pm\dfrac{\sqrt u}{2}\dfrac{d^2u}{df^2}+\dfrac{n+1}{4}f\dfrac{du}{df}-nu+n=0$
