What is the solution for (dy)/(dx)=-(sqrt(x))/(4y) ?

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

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(dy)/(dx)=-(sqrt(x))/(4y)

\frac{d y}{d x} = - \frac{x}{4 y}

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

Solution steps

\frac{d y}{d x} = - \frac{x}{4 y}

Solve separable ODE:

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

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

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