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Differential Equations question

2023 · Shift 2 · Q26

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PYQ Library
JEE Advanced
Mathematics
Differential Equations
2023 · Shift 2 · Q26

Differential Equations question

2023 · Shift 2 · Q26

JEE AdvancedMathematicsDifferential EquationsNumerical+4 / −1

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 the maximum value of the function

y(x)

is :

Numerical answer

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