Use the Numerov method to find the lowest three energy eigenvalues for a one-particle system with V = ax8, where a is a constant.
Use either a program similar to that in Table 4.1, a spreadsheet, or a computer-algebra system such as Mathcad. If negative eigenvalues are being sought using Excel 2010, you must uncheck the Make Unconstrained Variables Non-Negative box in the Solver Parameters box.