I've been trying to write a program utilizing differential equations and am stuck evaluating some partial differentials. Obviously this question wouldn't need to be asked if I had 68k. However since I don't, I was wondering if anyone had an idea on how to approximately evaluate them. Any help would be great.
(∂²Ψ)/(∂x²) = -(2m(V(x)-E)Ψ/( ℏ²Ψ)