Exact solution of nonrelativistic Schrodinger equation for certain central physical potentials

We obtain here a class/classes of exact solution of the nonrelativistic Schrodinger equation for certain central potentials of physical interest by using proper ansatz/ansatze. The explicit expressions of energy eigenvalue and eigenfunction are obtained for each solution. These solutions are valid when for, in general, each solutions an interrelation between the parameters of the potential and the orbital-angular-momentum quantum number l is satisfied. These solutions, besides having an aesthetic appeal, can be used as benchmark to test the accuracy of nonperturbative methods, which sometimes yield wrong results, of solving the Schrodinger equation. The exact solution for the following central potentials, which are relevant in different areas of physics, have been obtained: 1) V(r) = ar(6) + br(4) + cr(2); 2) V(r) = ar(2) + br + c/r; 3) V(r) = r(2) + lambda r(2)/(1 + gr(2)); 4) V(r) = a/r + b/(r + lambda); 5a) V(r)= a/r + b/r(2) + c/r(3) + d/r(4); 5b) V(r) = ar(2) + b/r(2) + c/r(4) + d/r(6); 6a) V(r) = a/r(1/2) + b/r(3/2); 6b) V(r) = ar(2/3) + br(-2/3) + Cr-4/3.