Let asolution `y=y(x)` ofthe differential equation `e^y dy -(2 +cos x)dx =0` then the value of `f (pi/2)` is equal to

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

Let y(x) is the solution of the differential equation (x+2)(dy)/(dx)-(x+1)y=2 . If y(0)=-1 , then the value of y(2) is equal to

Let y = y (x) be the solution of the differential equation xdy = (y + x^3 cos x)dx with y( pi ) = 0, then y ((pi)/(2)) is equal to

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation x(e^(2y)-1)dy + (x^2-1) e^y dx=0 is

The solution of the differential equation x(e^(2y)-1)dy+(x^2-1)e^y dx=0 is

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

If y = f (x) is the solution of difierential equation. e ^(y) ((dy)/(dx )-2)=e ^(3x) such that f(0) =0, then f (2) is equal to :

If y=f (x) satisfy the differential equation (dy)/(dx) + y/x =x ^(2),f (1)=1, then value of f (3) equals:

If y=f (x) satisfy the differential equation (dy)/(dx) + y/x =x ^(2),f (1)=1, then value of f (3) equals: