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Start by letting $y=\sum\limits_{n=0}^{\infty}c_nx^n$ and taking the appropriate derivatives and plugging them into the DE.
Actually, since $x=0$ is a regular singular point of this DE, you're going to have to use the Method of Frobenius. TryStart by letting $y=\sum\limits_{n=0}^{\infty}c_nx^n$ and taking the appropriate derivatives and plugging them into the DE.