What is the solution for (1-2/y+x)(dy)/(dx)+y=2x-1 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(1-2/y+x)(dy)/(dx)+y=2x-1

(1 - \frac{2}{y} + x) \frac{d y}{d x} + y = 2 x - 1

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

Solution steps

(1 - \frac{2}{y} + x) \frac{d y}{d x} + y = 2 x - 1

Solve exact ODE:

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

y = \frac{2 W ( \frac{- x - 1}{2 e ^{\frac{x ^{2} - x + c _{1}}{2}}} )}{- x - 1}

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

\int (\frac{5}{t ^{2}} + 4 t^{2}) d t

\int \frac{1}{5 - x ^{2}} d x

\frac{d}{d x} (20 x^{3} - 6 x^{2} + x)

\frac{1}{s ^{2} - 4 s + 4}

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