For x in R let y(x) be solution of... | Differential Equations | JEE Advance 2023

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JEE Advance 2023

Paper-2 2023

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For $x \in \mathbb{R}$, let $y(x)$ be a solution of the differential equation $\left(x^2-5\right) \frac{\mathrm{dy}}{\mathrm{dx}}-2 x y=-2 x\left(x^2-5\right)^2$ such that $y(2)=7$. Then the maximum value of the function $y(x)$ is

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