- #1
gtfitzpatrick
- 379
- 0
Homework Statement
use an integrating factor to solve
[tex]
\frac{ \partial u}{ \partial x} = -2 + \frac{u}{2x}
[/tex]
The Attempt at a Solution
let P(x) = [tex] \frac {1}{2x} [/tex]
M(x) = [tex] e^(\int(\frac {1}{2x}dx)) [/tex]
= [tex]\sqrt{x}[/tex]
so u = [tex]
\frac{1}{ \sqrt{x}} \int-2\sqrt{x} dx = \frac{1}{ \sqrt{x}}(\frac{2}{3} x^(3/2))
[/tex]
=-4x + k
anyone got any ideas if I am doing this right?
thanks