# Power Series Solution

Calculus Level 2

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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