What is the solution for 7sqrt(xy)(dy)/(dx)=1 ?

The solution for 7sqrt(xy)(dy)/(dx)=1 is y=\sqrt[3]{(9x}{49}+\frac{9c_{1}sqrt(x))/7+(9c_{1}^2)/4}

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7sqrt(xy)(dy)/(dx)=1

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

Solution steps

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

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(y^{3} - t^{3}) d t - t y^{2} d y = 0, y (1) = 3

What is the solution for 7sqrt(xy)(dy)/(dx)=1 ?
The solution for 7sqrt(xy)(dy)/(dx)=1 is y=\sqrt[3]{(9x}{49}+\frac{9c_{1}sqrt(x))/7+(9c_{1}^2)/4}