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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

Solve exact ODE:

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

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

(1 + x^{2}) y^{^{''}} = - 2 x y^{^{'}}

\frac{\partial}{\partial θ} (e^{r} cos (θ))

\int_{2}^{4} \frac{2}{x} - \frac{1}{8} x d x

y = - 8 x^{3} + 9 x^{2} + 6 x - 5

n = 0 \sum \infty \frac{3 ^{n}}{n ^{3}}

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