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

Let y = y (x) be the solution of the differential equation cos x (dy)/(dx) + 2y sin x = sin 2x , x in (0, pi/2) . If y(pi//3) = 0, " then " y(pi//4) is equal to :

The solution of the differential equation x sin d (dy)/(dx) + ( x cos x + sin x ) y = sinx . When y (0)=0 is

If y = y ( x ) is the solution of differential equation sin y (dy ) /(dx ) - cos y = e ^ ( - x ) such that y ( 0 ) = ( pi ) /(2) then y (A) is equal to

If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equation sec y (dy)/(dx)- sin (x+y) - sin (x-y)= 0 , with y(0)= 0, then 5y'((pi)/(2)) is equal to _____

The solution of the differential equation y sin (x//y) dx= (x sin (x//y)-y) dy satisfying y(pi//4)=1 is

Solve the differential equation x(dy)/(dx)+y=x cos x+sin x,quad given y((pi)/(2))=1

Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+2sinx-5)x-2cosx such that y(0)=7 . Then y(pi) is equal to