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

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

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

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

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} = x y

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}

\frac{\partial}{\partial x} (\frac{x ^{2} + 2 y}{x ^{3} - y ^{2}})

\frac{d}{d x} (ln (x x^{2} - 5))

\int \frac{1}{x ln ^{5} ( x )} d x

d er i v a t i v e \frac{e ^{3 x^{2}}}{5 x}

s l o p e (19.3) (20.3)

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