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

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

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

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

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

Solution steps

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

Solve exact ODE:

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

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

\frac{d}{d x} (- \frac{3}{2} x)

\frac{d}{d x} (2^{e^{x}})

\frac{d}{d x} (r^{2} - 17 x^{2})

\frac{d y}{d x} = \frac{- 2 y}{x - 2}

\frac{\partial}{\partial x} (3 x^{2} + y^{2})

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