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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

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

Solution steps

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

\int sec^{4} (x) tan^{3} (x) d x

\frac{1 - 2 s}{5 s ^{2} + 8 s + 10}

y^{^{'}} = t + t y^{2}

f (x) = x + x, at x = 4

\int_{- 1}^{4} (x^{2} + 2 x - 1) d x

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