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

The solution for (dy)/(dx)=(7x+2y)/(7x+2y+2) is y=(2\W(1/(4e^{(-81x-c_{1))/4}})-7)/(9)-(7x)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(7x+2y)/(7x+2y+2)

\frac{d y}{d x} = \frac{7 x + 2 y}{7 x + 2 y + 2}

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 81 x - c _{1}}{4}}} ) - 7}{9} - \frac{7 x}{2}

Solution steps

\frac{d y}{d x} = \frac{7 x + 2 y}{7 x + 2 y + 2}

Solve using substitution:

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 81 x - c _{1}}{4}}} ) - 7}{9} - \frac{7 x}{2}

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 81 x - c _{1}}{4}}} ) - 7}{9} - \frac{7 x}{2}

f (x) = 2 - 7 x, (- 2, 4)

\frac{d}{d x} (∣ cos (x) ∣)

(y^{3} - 1) e^{x} d x + 3 y^{2} (e^{x} + 1) d y = 0, y (0) = - 2

\int 3 x^{2} + 5 d x

\frac{\partial}{\partial x} (9 - x^{3} - y^{5})

What is the solution for (dy)/(dx)=(7x+2y)/(7x+2y+2) ?
The solution for (dy)/(dx)=(7x+2y)/(7x+2y+2) is y=(2\W(1/(4e^{(-81x-c_{1))/4}})-7)/(9)-(7x)/2