What is the solution for (dy)/(dx)=(sqrt(x))/(-y) ?

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

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(dy)/(dx)=(sqrt(x))/(-y)

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

y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

Solution steps

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

Solve separable ODE:

y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

y = - \frac{4}{3} x^{\frac{3}{2}} + c_{1}, y = - - \frac{4}{3} x^{\frac{3}{2}} + c_{1}

y = arcsin (2 x + 1)

\frac{d}{d x} (e^{9 x})

\int \frac{8 x ^{2} - 7 x + 8}{x ^{3} + 4 x} d x

y^{^{'}} - 2 y = 1

(lo g_{2} (x))^{^{'}}

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