Let y = f(x) be the solution of the differential equation dy dx + xy x^2-1 = x^6+4x 1-x^2 , -1

Question

Let y = f(x) be the solution of the differential equation dy dx + xy x^2-1 = x^6+4x 1-x^2 , -1 < x < 1 such that f(0) = 0. If 6 _ -1/2 ^ 1/2 f(x) ,dx = 2 - then ^2 is equal to _____.

Accepted Answer

27

JEE Main 2025 Mathematics question

Solution