What is the solution for (dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12)) ?

The solution for (dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12)) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1}+5)/7}})-5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12))

\frac{d y}{d x} = (\frac{x y + 5 x - y - 5}{x y - 2 x + 6 y - 12})

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

Solution steps

\frac{d y}{d x} = (\frac{x y + 5 x - y - 5}{x y - 2 x + 6 y - 12})

Solve separable ODE:

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

y = - 7 W (- \frac{x + 6}{7 e ^{\frac{x + c _{1} + 5}{7}}}) - 5

x y^{3} d x + e^{x^{2}} d y = 0

(5 x^{2} + 2 x^{- 1} y + 2 x^{- 1} y^{2}) d x + (1 + 2 y) d y = 0

e^{θ} sin (5 θ)

x + 4

y = 4 - x

What is the solution for (dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12)) ?
The solution for (dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12)) is y=-7\W(-(x+6}{7e^{\frac{x+c_{1}+5)/7}})-5