equation:
xy" + (1x)y' + ny=0 y'(0) = n!, n = 1, 2, 3...
(1)
Laguerre polynomials are essential in quantum mechanics as the are apart of the solution to the
Schrödinger equation for a one-electron atom, with many applications to physics and chemistry.
a. Of the methods presented in class, determine the appropriate method to use to solve the
Laguerre differential equation.
b. Find L3(2), in other words solve (1) with n = 3.
Fig: 1