Let y=f(x) is a solution of differential equation `e^(y)((dy)/(dx)-1)=e^(x)` and f(0)=0 then f(1) is equal to

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

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

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

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

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

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