If y = y(x) is the solution of the differential equation, 4-x^2 dy dx = ( ( ^ -1 ( x 2 ) )^2-y ) ^ -1 ( x 2...

Question

If y = y(x) is the solution of the differential equation, 4-x^2 dy dx = ( ( ^ -1 ( x 2 ) )^2-y ) ^ -1 ( x 2 ), -2 x 2, y(2)= ( ^2-8 4 ), then y^2(0) is equal to ____.

Accepted Answer

4

JEE Main 2025 Mathematics question

Solution