Differential Equations · JEE Advanced previous year questions

2023 1 question

1. Q92023 · 4 Jun 2023 · Paper 2· Numerical answer

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

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   Answer: 16