Solve the differential equation in Exercises 9–22.
10. (dy/dx) = x²√y, y > 0

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Recognize that the given differential equation is separable. The equation is $\frac{dy}{dx} = x^{2} \sqrt{y}$, where $y > 0$.

Rewrite the equation to separate variables $y$ and $x$. Express it as $\frac{dy}{\sqrt{y}} = x^{2} dx$.

Integrate both sides: integrate $\frac{1}{\sqrt{y}} dy$ on the left and $x^{2} dx$ on the right.

After integrating, you will get an expression involving $y$ and $x$ plus an integration constant $C$. Write this implicit solution.

Finally, solve the implicit equation for $y$ if possible, to express $y$ explicitly as a function of $x$.

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