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G4CKT

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## Homework Statement

y''+t^2*y'-y=1-t^2

## Homework Equations

y(0)=-2

y'(0)=1

Find the first 6 coefficients

C1=-2

C2=1

C3=? (-1?)

C4=?

C5=?

C6=?

## The Attempt at a Solution

Okay so I tried to do this but I'm not used to having anything on the RHS of the equation.

I got down to [tex]\Sigma[/tex](n+1)(n+2)a

_{n+2}t

^{n}+[tex]\Sigma[/tex]a

_{n-1}(n-1)t

^{n}-[tex]\Sigma[/tex]a

_{n}t

^{n}-a

_{0}+2*a

_{2}

Where the sigma's have n=2 on the bottoms of them. Don't know what to do next tho!