What is the solution for (dy}{dx}=\frac{-x)/y ?

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

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(dy}{dx}=\frac{-x)/y

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

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

Solution steps

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

Solve separable ODE:

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

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

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