What is the solution for (x+3)((dy)/(dx))+y=ln(x) ?

The solution for (x+3)((dy)/(dx))+y=ln(x) is y=(xln(x))/(x+3)-x/(x+3)+(c_{1})/(x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(x+3)((dy)/(dx))+y=ln(x)

(x + 3) (\frac{d y}{d x}) + y = ln (x)

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

Solution steps

(x + 3) (\frac{d y}{d x}) + y = ln (x)

Solve linear ODE:

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

y = \frac{x ln ( x )}{x + 3} - \frac{x}{x + 3} + \frac{c _{1}}{x + 3}

What is the solution for (x+3)((dy)/(dx))+y=ln(x) ?
The solution for (x+3)((dy)/(dx))+y=ln(x) is y=(xln(x))/(x+3)-x/(x+3)+(c_{1})/(x+3)