Let the solution curve x = x(y), 0

Question

Let the solution curve x = x(y), 0<y< 2 , of the differential equation ( _e( y))^2 ydx-(1+3x _e( y)) ydy=0 satisfy x ( 3 )= 1 2 _e2 . If x ( 6 )= 1 _em- _en , where m and n are coprime, then mn is equal to __________.

Accepted Answer

12

JEE Main 2023 Mathematics question

Solution