Having an issue differentiating the following equation for purposes of reducing into two 1st order ODE's. Where: $y(1)=0$, $y'(1) = 2/3$ and $h = 0.5$
$$3x^2y'' - 5xy'+5y = 0$$
when making $y'=z$.
Trying to find $dy/dx$ and $dz/dx$, then put it into a 4th order Runge-Kutta where:
This is my process (roughly): Help with using the Runge-Kutta 4th order method on a system of 2 first order ODE's.