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

The solution for (dy)/(dx)=(5x+2y)/(5x+2y+2) is y=(2\W(1/(4e^{(-49x-c_{1))/4}})-5)/(7)-(5x)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(5x+2y)/(5x+2y+2)

\frac{d y}{d x} = \frac{5 x + 2 y}{5 x + 2 y + 2}

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 49 x - c _{1}}{4}}} ) - 5}{7} - \frac{5 x}{2}

Solution steps

\frac{d y}{d x} = \frac{5 x + 2 y}{5 x + 2 y + 2}

Solve using substitution:

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 49 x - c _{1}}{4}}} ) - 5}{7} - \frac{5 x}{2}

y = \frac{2 W ( \frac{1}{4 e ^{\frac{- 49 x - c _{1}}{4}}} ) - 5}{7} - \frac{5 x}{2}

\frac{d ^{2} y}{d x ^{2}} = 0

11 x - 4 y x^{2} + 1 y^{^{'}} = 0, y (0) = 3

\frac{d y}{d x} = \frac{y + x cos ^{2} ( \frac{y}{x} )}{x}

\frac{d}{d x} (\frac{0.9 e ^{x}}{tan ( x )})

x \to 2 lim ((4 x + 1)^{\frac{1}{2}})

What is the solution for (dy)/(dx)=(5x+2y)/(5x+2y+2) ?
The solution for (dy)/(dx)=(5x+2y)/(5x+2y+2) is y=(2\W(1/(4e^{(-49x-c_{1))/4}})-5)/(7)-(5x)/2