For the differential equation `xy(dy)/(dx)=(x+1)(y+1),` find the solution.

For the differential equation xy(dy)/(dx) = (x + 2)( y + 2) , find the solution curve passing through the point (1, -1).

Solve the differential equation, (dy)/(dx)=xy+x+y+1

Solve the differential equations. (dy)/(dx)=(e^(x)+1)y

Solve the differential equation xy(dy)/(dx)=x^(2)-y^(2).

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

Find the general solution of the differential equation (dy)/(dx)=(x+1)/(3-y),(yne3)

Consider the differential equation (dy)/(dx)=(y)/(x)+logx i . Find the integrating factor of the differential equation ii . Evaluate int(1)/(x)logxdx iii . Hence find the general solution of the given differential equation.

The solution of the differential equation (dy)/(dx)=2xy is

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

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