What is the solution for y^'+5x^{-1}y=x^6 ?

The solution for y^'+5x^{-1}y=x^6 is y=(x^7)/(12)+(c_{1})/(x^5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'+5x^{-1}y=x^6

y^{^{'}} + 5 x^{- 1} y = x^{6}

y = \frac{x ^{7}}{12} + \frac{c _{1}}{x ^{5}}

Solution steps

y^{'} (x) + 5 x^{- 1} y = x^{6}

Solve linear ODE:

y = \frac{x ^{7}}{12} + \frac{c _{1}}{x ^{5}}

y = \frac{x ^{7}}{12} + \frac{c _{1}}{x ^{5}}

x \to 3 lim (\frac{3}{x - 3})

ln (7 - x^{2})

n = 0 \sum \infty (\frac{1}{6})^{n + 1}

x \to \infty lim ((1 - \frac{1}{2 x})^{2 x})

\int x^{3} - 6 x d x

What is the solution for y^'+5x^{-1}y=x^6 ?
The solution for y^'+5x^{-1}y=x^6 is y=(x^7)/(12)+(c_{1})/(x^5)