What is the solution for (dy)/(dx)=sqrt(xy^2) ?

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

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(dy)/(dx)=sqrt(xy^2)

\frac{d y}{d x} = x y^{2}

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

\frac{d y}{d x} = x y^{2}

Solve separable ODE:

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

\int \frac{( x ^{2} - 16 )}{x ^{3}} d x

y^{^{'}} = 6 y + 2 t - 4, y (0) = 3

\int_{0}^{1} 1 - x d x

\frac{d}{d x} ((2 - x)^{\frac{3}{2}})

\frac{\partial}{\partial x} (4 x - 8 y^{3})

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