If the curve y = y(x) is the solution of the differential equation 2(x^2+x^ 5/4 )dy-y(x+x^ 1/4 )dx=2x^ 9/4...

Question

If the curve y = y(x) is the solution of the differential equation 2(x^2+x^ 5/4 )dy-y(x+x^ 1/4 )dx=2x^ 9/4 dx, x > 0, which passes through the point (1,1- 4 3 _e2 ), then the value of y(16) is equal to :

Accepted Answer

(C)

JEE Main 2021 Mathematics question

Solution