Question: Using Power series solution for a second order homogeneous differential equation around x = 0 , we get c k + 2 = - 1

Using Power series solution for a second order homogeneous differential equation around x=0, we get ck+2=-1(k+1)(k+2)ck for k=0,1,2,cdots.
Then the general solution is y=c0y1+c1y2 with:
Using Power series solution for a second order

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