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}

\int \frac{x ^{2} + 1}{x ^{2}} d x

\frac{d y}{d x} = 1 0^{x + y}

\frac{d}{d x} (x (s - 2 x) (s - 2 x))

n = 0 \sum \infty n^{\frac{3}{2}}

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