# Integrating Factor help

• November 16th 2010, 10:45 AM
NathanBUK
Integrating Factor help
The soloution to this might be trivial but I just need a bit of explaining.

The question I have is in the form of dy/dx + Py = Q but in front of the dy/dx there is another x and i'm just not sure what I need to do with this.

Any help would be appreciated. Thanks!
• November 16th 2010, 10:52 AM
TheEmptySet
Quote:

Originally Posted by NathanBUK
The soloution to this might be trivial but I just need a bit of explaining.

The question I have is in the form of dy/dx + Py = Q but in front of the dy/dx there is another x and i'm just not sure what I need to do with this.

Any help would be appreciated. Thanks!

If I understand correctly

$x\frac{dy}{dx}+P(x)y=Q(x)$

This is the same as

$\frac{dy}{dx}+\frac{P(x)}{x}y=\frac{Q(x)}{x}$

$\displaystyle e^{\int \frac{P(x)}{x} dx}$