What is the solution for x(dy)/(dx)+4y=2-7/x ?

The solution for x(dy)/(dx)+4y=2-7/x is y= 1/2-7/(3x)+(c_{1})/(x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x(dy)/(dx)+4y=2-7/x

x \frac{d y}{d x} + 4 y = 2 - \frac{7}{x}

y = \frac{1}{2} - \frac{7}{3 x} + \frac{c _{1}}{x ^{4}}

Solution steps

x \frac{d y}{d x} + 4 y = 2 - \frac{7}{x}

Solve linear ODE:

y = \frac{1}{2} - \frac{7}{3 x} + \frac{c _{1}}{x ^{4}}

y = \frac{1}{2} - \frac{7}{3 x} + \frac{c _{1}}{x ^{4}}

\int (x^{3} + 4 x - 3) d x

5 x^{- 15}

\int \frac{10 x + 15}{x ^{2} + 3 x} d x

\frac{d y}{d x} = \frac{2 - x}{y - 3}

\int \frac{1}{x ( x - 1 ) ( x - 2 )} d x

What is the solution for x(dy)/(dx)+4y=2-7/x ?
The solution for x(dy)/(dx)+4y=2-7/x is y= 1/2-7/(3x)+(c_{1})/(x^4)