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}

\int 5 tan^{3} (2 x) sec^{5} (2 x) d x

f (g (x))

y = e^{x}, y = e^{3 x}, x = 0, x = ln (3)

x \to 3 lim (ln (3 - x))

e^{11 x}

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)}