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 _____.

JEE Advanced 2023 Mathematics question

For , let be a solution of the differential equation such that . Then the maximum value of the function is .

Answer: 16

Dividing by : . :

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Question ID VK-034121