Let y=g(x) be the solution of the diffe...

Let `y=g(x)` be the solution of the differential equation
`sin x(dy)/(dx)+y cos x=4x, x in (0,pi)` If `y(pi/2)=0`,
then `y(pi/6)` is equal to

A

(a) `(-8)/(9sqrt3)pi^2`

B

(b) `-8/9pi^2`

C

(c) `-4/9pi^2`

D

(d) `4/(9sqrt3)pi^2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The solution of the differential equation x(dy)/(dx)+y=y^2 is

The solution of the differential equation x+y(dy)/(dx)=2y is

The solution of the differential equation x(dy)/(dx)+y = y^2 is

The solution of the differential equation (dy)/(dx) +y/x = sin x is

The solution of the differential equation (dy)/(dx)+y/x=x^2 is

The solution of the differential equation (dy)/(dx)=3^(x+y) at x=0=y is

The solution of the differential equation (dx)/x +(dy)/y = 0 is

Solution of differential equation x(dy)/(dx)=y+x^2 is

The solution of the differential equation (dy)/(dx)+(y)/(x)=x^(2) , is

The solution of the differential equation 9y"dy"/"dx"+4x=0 is