What is the solution for (dy)/(dx)=(1-x-y)/(x+y) ?

The solution for (dy)/(dx)=(1-x-y)/(x+y) is y=(-2x+sqrt(8x+c_{1)})/2 ,y=(-2x-sqrt(8x+c_{1)})/2

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(dy)/(dx)=(1-x-y)/(x+y)

\frac{d y}{d x} = \frac{1 - x - y}{x + y}

y = \frac{- 2 x + 8 x + c _{1}}{2}, y = \frac{- 2 x - 8 x + c _{1}}{2}

Solution steps

\frac{d y}{d x} = \frac{1 - x - y}{x + y}

Solve exact ODE:

y = \frac{- 2 x + 8 x + c _{1}}{2}, y = \frac{- 2 x - 8 x + c _{1}}{2}

y = \frac{- 2 x + 8 x + c _{1}}{2}, y = \frac{- 2 x - 8 x + c _{1}}{2}

y = 9 x^{3}

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

y^{^{'}} = \frac{x - 4}{y - 6}

(4, 5), (1, 2)

x \to 0 lim (\frac{∣ 2 x ∣}{x})

What is the solution for (dy)/(dx)=(1-x-y)/(x+y) ?
The solution for (dy)/(dx)=(1-x-y)/(x+y) is y=(-2x+sqrt(8x+c_{1)})/2 ,y=(-2x-sqrt(8x+c_{1)})/2