What is the solution for (dy)/(dx)=6sqrt(xy) ?

The solution for (dy)/(dx)=6sqrt(xy) is y=4x^3+2c_{1}x^{3/2}+(c_{1}^2)/4

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(dy)/(dx)=6sqrt(xy)

\frac{d y}{d x} = 6 x y

y = 4 x^{3} + 2 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 6 x y

Solve separable ODE:

y = 4 x^{3} + 2 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

y = 4 x^{3} + 2 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=6sqrt(xy) ?
The solution for (dy)/(dx)=6sqrt(xy) is y=4x^3+2c_{1}x^{3/2}+(c_{1}^2)/4