It is given that

This is equation in the form of (where, p = -1 and Q = y )

Now, I.F. =

Thus, the solution of the given differential equation is given by the relation:

x(I.F.) =

=> x = - y – 1 + Ce^y

=> x + y + 1 = Ce^y

Therefore, the required general solution of the given differential equation is

x + y + 1 = Ce^y.