For x \in \mathbb{R}, let y(x) be a solution of the differential equation (x^2-5) \frac{d y}{d x}-2 x y=-2 x (x^2-5) ^2 such that y(2)=7. Then the maximum value of the function y(x) is [JEE Adv 2023 P2]

Differential Equations

Section: Mathematics

Question : 4 of 23

Marks: +1, -0

For x∈ℝ, let y(x) be a solution of the differential equation (x2−5)‌

−2xy=−2x(x2−5)2 such that y(2)=7.
Then the maximum value of the function y(x) is

[JEE Adv 2023 P2]

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