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

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

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

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

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

Solution steps

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

Solve exact ODE:

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

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

(1 + x)^{- 5}

\frac{\partial}{\partial y} (\frac{1}{y} e^{x y})

\int_{1}^{13} \frac{x - 1}{72} d x

(- 1, 1), (1, 0)

\frac{d}{d x} (\frac{2}{cos ( 7 x )})

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