I have to solve a differential equation, which is non-linear and has several instances of y(x). In general
$y'(x)=g(x,y(x))$, or more specifically
$y'(x)=a(x,y(c_0)) y(x)^n +b(x,y(c_0)) y(x)^{n-1}$.
If it helps, assuming $n \in \{2,3,4\}$ is fine.
Is something like that even solvable, if yes, do you know a book or online tutorial which explains this?
I now tried it with Runga-Kutta, which is a numerical method. However, as $y'(x)$ depends on $y(c_0)$, which I do not know, this method does not work either.
Any ideas?