Let y = y(x) be the solution of the differential equation x( _e( x))^2 dy + ( x - 3y x _e( x))dx = 0, x (0, 2...

Question

Let y = y(x) be the solution of the differential equation x( _e( x))^2 dy + ( x - 3y x _e( x))dx = 0, x (0, 2 ). If y ( 4 ) = -1 _e 2 , then y ( 6 ) is :

Accepted Answer

(4)

JEE Main 2025 Mathematics question

Solution