二、 (a)Find the eigenvalues and eigenfunctions of the problems.
?′′ + λ? = 0; ?(0) = 0, ?′(?) = 0(13 分)
(b)Find the power series solution of Legendre’s equation. λ is a
constant.(1 − ?2)?
′′ − 2??′ + λ? = 0(12 分)