What is the solution for 7sqrt(xy)(dy)/(dx)=4 ?

The solution for 7sqrt(xy)(dy)/(dx)=4 is y=\sqrt[3]{(144x}{49}+\frac{36c_{1}sqrt(x))/7+(9c_{1}^2)/4}

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7sqrt(xy)(dy)/(dx)=4

7 x y \frac{d y}{d x} = 4

y = 3 \frac{144 x}{49} + \frac{36 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

Solution steps

7 x y \frac{d y}{d x} = 4

Solve separable ODE:

y = 3 \frac{144 x}{49} + \frac{36 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{144 x}{49} + \frac{36 c _{1} x}{7} + \frac{9 c _{1}^{2}}{4}

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What is the solution for 7sqrt(xy)(dy)/(dx)=4 ?
The solution for 7sqrt(xy)(dy)/(dx)=4 is y=\sqrt[3]{(144x}{49}+\frac{36c_{1}sqrt(x))/7+(9c_{1}^2)/4}