Hey guys, I am new here so hi.
Okay, I have this not so pretty 2nd order non-linear ODE I should be able to solve numerically.
f''(R)+(2/R)f'(R)=(.7/R)((1/sqrt(f))-((0.3)/sqrt(1-f))), f'(0)=1, f(1)=1
I was thinking of breaking this guy up into a system of two first order ODE's and then solve, but I have no idea how to set this up. What method should I use to set up the system of ODE's so I can solve them numerically? If there is some other way of solving this guy I am more than open to those methods.