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Take the reciprocal of both sides to swap the roles of the independent and dependent variables, yielding $dx/dy = (x+y^2)/y$. Split the fraction on the right side to get $dx/dy = (1/y)x + y$.

Conditions: The equation is a first-order differential equation.; y is not equal to zero, allowing division by y and taking the reciprocal.

Take the reciprocal of both sides to swap the roles of the independent and dependent variables, yielding $dx/dy = (x+y^2)/y$. Split the fraction on the right side to get $dx/dy = (1/y)x + y$.

Conditions: The equation is a first-order differential equation.; y is not equal to zero, allowing division by y and taking the reciprocal.