Let y = y(x) be the solution of the differential equation x ( y x )dy= (y ( y x )-x )dx, -1 x 1, y ( 1 2 )= 6...

Question

Let y = y(x) be the solution of the differential equation x ( y x )dy= (y ( y x )-x )dx, -1 x 1, y ( 1 2 )= 6 . Then the area bounded by the curves x = 0, x= 1 2 and y = y(x) in the upper half plane is -

Accepted Answer

(D)

JEE Main 2021 Mathematics question

Solution