how do you solve (x-2)y’+y=0 by power series solution about x=0

Question : solve (x-2)y’+y=0 by power series solution about x=0 Solution: To solve (x-2)y’+y=0 by power series (x-2)y’+y=0 about x =0 Given ode \[\left(x-2\right)y^\prime+y=0 \] (1) Let power series of the ode is \[y=\sum_{n=0}^{\infty}{a_nx^n}\] Differentiating this with respect to x…

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