For x ∈ R, let y(x) be a solution of the differential equation (x^2 - 5)dy/dx - 2xy = -2x(x^2-5)^2 such that y(2) = 7. Then the maximum value of the function y(x) is

For x ∈ R, let y(x) be a solution of the differential… — JEE Advanced 2023 Mathematics PYQ

JEE Advanced 2023 · Paper 2 · numerical answer

For

x \in \mathbb{R}

, let

y(x)

be a solution of the differential equation

(x^2 - 5)\dfrac{dy}{dx} - 2xy = -2x(x^2-5)^2

such that

y(2) = 7

. Then the maximum value of the function

y(x)

Show answer

Answer: 16

[JEE Advanced 2023 · Paper 2]

Practise Differential Equations the way it is asked

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