Question

Consider the following differential equation,

xy''-7y'+9xy=0

Solve two questions below.

(d) You must now calculate the solution for the largest of the two indicial roots.

First, enter the corresponding recurrence relation below, as an equation.

Note 1: You must include an equals sign.

Note 2: You must use the symbol m as your index.

Note 3: am is entered as a(m), am+1 as a(m+1), etc.

(e) Hence enter the first three non-zero terms of the solution corresponding to the largest indicial root.

Note: The syntax for a0 and a1 is a0 and a1, respectively.

y=________.

Answer 1

mtY Y-1 m+T-1 Se A r= 8 r=o,

2 ao au 2en0 we ara (m+v) (m+r-8)

2 0 (1o) (2) 20