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Possible Legendre Polynomial Series Solution needed I am stugglling because it looks like an legendre polynomial...

Possible Legendre Polynomial Series Solution needed

I am stugglling because it looks like an legendre polynomial but not exactly please advise on the problem below

Consider the following ODE:

x2y"+(2x+2)y'-n(n+1)y=0

Show that a series solution to this ODE for n=2 and y(0)=-1 is:

a. y=-1+3x+3x2-3x3

b.y.=1+3x+3x2+3x3+3x4+...

c.y=-1-2x-3x2

d.y=-(1+3x+3x2)

Math   Advanced-Math   
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