If x = f(y) is the solution of the differential equation (1+y^2) + (x - 2e^ ^ -1 y ) dy dx = 0, y (- 2 , 2 )...

Question

If x = f(y) is the solution of the differential equation (1+y^2) + (x - 2e^ ^ -1 y ) dy dx = 0, y (- 2 , 2 ) with f(0) = 1, then f( 1 3 ) is equal to :

Accepted Answer

4

JEE Main 2025 Mathematics question

Solution