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}}

x \to 0 lim (\frac{3 x}{tan ( x )})

y^{^{'}} - 2 x y = 2 x

x \to 1 lim (arctan (x))

\frac{\partial}{\partial x} (x sin (x y))

\int 5^{x} d x

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}}