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}

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