" Let "y=f(x)" satisfies "(dy)/(dx)=(x+y)/(x)" and "f(e)=e," then the value of "f(1)" is "

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

Let y=f (x) and x/y (dy)/(dx) =(3x ^(2)-y)/(2y-x^(2)),f(1)=1 then the possible value of 1/3 f(3) equals :

If y=f(x) satisfy differential equation ( dy )/(dx)-y=e^(x) with f(0)=1 then value of f'(0) is

If f is a differentiable function of x such that f(1)=0,f'(1)=(3)/(5)" and "y=e^(x)*f(e^(2x))," then the value of "(dy)/(dx)" at "x=0 is

Let y=f(x) satisfy the differential equation (dy)/(dx)=(x+y)/(x),y(1)=1, then y((1)/(e)) is equal

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:

[" Let "f" be a twice differential function "],[" satisfying "(e^(x)f''(x)-e^(x)f'(x))/(e^(2x))=1" and "],[f(0)=0,f'(0)=1," then the value of "],[int_(0)^(1)(f(x))/(x)dx" is "]

Let f be a continuous function satisfying f(x + y) = f (x) f( y) (x, y in R) with f(1) = e then the value of int(xf(x))/(sqrt(1+f(x)))dx is