The solution of the differential equation `y(dy)/(dx)=x-1` satisfying y(1) = 1, is

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

The solution of the differential equation x sec y (dy)/(dx)=1 is

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

Solution of the differential equation (x+y)(dy)/(dx)=1 is

If y=y(x) is the solution of the differential equation x(dy)/(dx)+2y=x^(2) satisfying y(1)=1 , then y(1/2) is equal to (7k)/16 . The value of k is___________________.

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

The solution of the differential equation (1+x)(dy)/(dx)=4+y is

The solution of the differential equation (1+x)(dy)/(dx)=4+y is

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