What is the solution for (dy)/(dx)=3sqrt(xy) ?

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

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(dy)/(dx)=3sqrt(xy)

\frac{d y}{d x} = 3 x y

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

Solution steps

\frac{d y}{d x} = 3 x y

Solve separable ODE:

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

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

\int_{0}^{1} 14 cos (x^{2}) d x

\frac{2}{( s + 2 ) ( s + 3 )}

\int_{0}^{2 π} x d x

t + t

\frac{d}{d x} (cos (x^{4}) \cdot 4 x^{3})

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