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

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

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(dy)/(dx)=(-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}

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\int \frac{x ^{2}}{36 + x ^{2}} d x

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\frac{d}{d x} (cos (x) ln (x))

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