AN EIGENVALUE PROBLEM WITH NONLINEAR DEPENDENCE OF THE EIGENVALUE
Mikhail Dimitrov Mikhailov, B. R. Makaveev · Hybrid Methods in Engineering · 2001
Mathematica software has been used to solve the eigenvalue problem y''[x] + (λ + λ2x2)y[x] = 0, y[−1] = 0, y[1] = 0. A table of the first 50 eigenvalues with 25 accurate digits is presented. A Mathematica function is given that computes a desired eigenvalue with specified accuracy.