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

The solution for (dy)/(dx)=sqrt(yx) is y=(x^3)/9+(c_{1}x^{3/2})/3+(c_{1}^2)/4

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(dy)/(dx)=sqrt(yx)

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

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

Solution steps

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

Solve separable ODE:

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

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

\int_{0}^{3} 2 π (x) (3 x - x^{2}) d x

x \to \infty lim (\frac{( 3 n - 7 ) ^{2 n - 1}}{( 3 n - 4 ) ^{2 n + 1}})

\frac{2}{3} (4 y^{2} + \frac{1}{2})^{\frac{3}{2}}

\frac{\partial}{\partial y} (6 x^{2} y)

\frac{d}{d x} (\frac{1}{3} x^{\frac{3}{2}} - x^{5} + π^{4})

What is the solution for (dy)/(dx)=sqrt(yx) ?
The solution for (dy)/(dx)=sqrt(yx) is y=(x^3)/9+(c_{1}x^{3/2})/3+(c_{1}^2)/4