What is the solution for 9sqrt(xy)(dy)/(dx)=1 ?

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

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9sqrt(xy)(dy)/(dx)=1

9 x y \frac{d y}{d x} = 1

Solution steps

9 x y \frac{d y}{d x} = 1

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\int \frac{16 x ^{2}}{( x ^{2} + 9 ) ^{5}} d x

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