What is the solution for (dy)/(dx)=-(sqrt(x))/(sqrt(y)) ?

The solution for (dy)/(dx)=-(sqrt(x))/(sqrt(y)) is y=\sqrt[3]{x^3-3c_{1}x^{3/2}+(9c_{1}^2)/4}

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(dy)/(dx)=-(sqrt(x))/(sqrt(y))

\frac{d y}{d x} = - \frac{x}{y}

Solution steps

\frac{d y}{d x} = - \frac{x}{y}

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What is the solution for (dy)/(dx)=-(sqrt(x))/(sqrt(y)) ?
The solution for (dy)/(dx)=-(sqrt(x))/(sqrt(y)) is y=\sqrt[3]{x^3-3c_{1}x^{3/2}+(9c_{1}^2)/4}