In: Advanced Math
Find the eigenvalues
λn
and eigenfunctions
yn(x)
for the given boundary-value problem. (Give your answers in terms of n, making sure that each value of n corresponds to a unique eigenvalue.)
x2y'' + xy' + λy = 0, y'(e−1) = 0, y(1) = 0
| 
 λn =  | 
 n = 1, 2, 3,  | 
|
| 
 yn(x) =  | 
 n = 1, 2, 3,  |