Differential Equations and The - Braun, Martin 7579 · Problem 13

Mathematical Control Theory: Deterministic Finite Dimensional Systems — Braun, Martin 7579

Mathematics — Calculus · hermite-equation-boundary-conditions-power-series

Problem

Let

a_0=0

and

a_1=1

. Show that the power series solution

\sum_{n=0}^\infty a_n x^n

of Equation (35), with

a_n

determined from Equation (37), will not satisfy the boundary conditions (36) unless the series terminates, i.e.,

\lambda=2n

for some integer

n