1. The problem statement, all variables and given/known data Show that the radial eigenfunction unr,l is a solution of the differential equation: ħ2/2me×d2unr,l/dr2+[l(l+1)ħ2/2mer2 - e2/4πε0r]unr,l=Enr,lunr,l 2. Relevant equations The radial function is R(r)=u(r)/r, so that the expression on the RHS is E×u. 3. The attempt at a solution I know that this equation is the radial Schrodinger equation, and that the particle with angular momentum L behaves like a particle in one-dimensional effective potential.But, to prove it, i don't know where to start. I tried comparing this potential with the analogous effective potential and set the first term, l(l+1)ħ2/2mr2, but with no luck. Any ideas, please?