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

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

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

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

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{y + x}{y - x}

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}

\frac{d x}{d t} = 5 x

\frac{d}{d x} (b sin (x))

x \to 4 lim (- 2 x^{2})

x \to - \infty lim (- 2 x^{5})

f (x) = x^{3} - 9 x^{2} + 10 x, at x = 1

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