Abstarct: In this thesis, the solution of second order differential equation schrodinger kill anychallenge that is very important in physics and engineering sciences. Since these equationsdo not have the exact solution by existing conventional method, we proposed guessworkmethod apllied to determine this equations the eigenvalues and eigenfunctions that analyticalmethod is known Bethe Ansatz, and answer just the polynomial the result is accurate.To ensure the integrity of the result, the corresponding equations are solved in other ways.