JEE Math Practice Question
For $x \in \mathbb{R}$, let $y(x)$ be a solution of the differential equation $\left(x^{2}-5\right) \frac{d y}{d x}-2 x y=-2 x\left(x^{2}-5\right)^{2}$ such that $y(2)=7$. Then what is the maximum value of the function $y(x)$?
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