What is the solution for (dy)/(dx)=((xy+7x-y-7))/(xy-2x+8y-16) ?

The solution for (dy)/(dx)=((xy+7x-y-7))/(xy-2x+8y-16) is y=-9\W(-(x+8}{9e^{\frac{x+c_{1}+7)/9}})-7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=((xy+7x-y-7))/(xy-2x+8y-16)

\frac{d y}{d x} = \frac{( x y + 7 x - y - 7 )}{x y - 2 x + 8 y - 16}

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

Solution steps

\frac{d y}{d x} = \frac{( x y + 7 x - y - 7 )}{x y - 2 x + 8 y - 16}

Solve separable ODE:

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

y = - 9 W (- \frac{x + 8}{9 e ^{\frac{x + c _{1} + 7}{9}}}) - 7

\int 8 \frac{sin ( 2 x )}{sin ( x )} d x

\int_{0}^{1} (4 x - 4 x) d x

\frac{d y}{d x} + 12 y = 8

\frac{d}{d x} (\frac{sin ( x ^{2} )}{ln ( 2 x + 8 )})

What is the solution for (dy)/(dx)=((xy+7x-y-7))/(xy-2x+8y-16) ?
The solution for (dy)/(dx)=((xy+7x-y-7))/(xy-2x+8y-16) is y=-9\W(-(x+8}{9e^{\frac{x+c_{1}+7)/9}})-7