What is the solution for (dy}{dx}=\frac{sqrt(xy^2))/x ?

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

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(dy}{dx}=\frac{sqrt(xy^2))/x

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

y = e^{2 x + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{2 x + c_{1}}

y = e^{2 x + c_{1}}

(2 + cos (t)) (\frac{d y}{d t}) - y sin (t) = 0

a y^{^{'}} = - b y^{2} - c, y (0) = 5

\frac{d y}{d x} y = x^{- 3} 6 cos (x)

\frac{d y}{d t} - y = 1, y = 0

d y - (1 + y) d x = 0

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