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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.

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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 $$ \int{dz\over1+\sqrt z} $$

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