# Help with this differential equation, nonlinear

How would I solve the following Differential Equation

$\frac{dy}{dx}= \sqrt{x+y}$

Clearly, it is nonlinear and non homogeneous, I could not find the way to solve it with Bernoulli or to make it an exact differential equation.

Substitute $z=x+y$ which gives you $${dz\over dx}=1+\sqrt z$$ which is separable in variables. Then use the substitution $z=t^2$ to calculate $$\int{dz\over1+\sqrt z}$$