Power Series Solution

Calculus Level 1

Find the second value in terms of \(a_{0}\) for the following differential equation (Eq. A) using the following assumption,

\[y(x)= \sum_{k=0}^\infty\ a_{k}x^{k}.\]

\(\frac{d^2 y}{dx^2}+x\frac{dy}{dx}+y(x)=0 (Eq. A)\)

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