# Role of integration factor

1. May 30, 2009

### transgalactic

$$\frac{dp}{dt}+2tp=p+4t-2$$
$$e^{\int (2t-1)dt}=e^{t^2 -t}$$
then we do

$$\frac{d}{dt}[e^{t^2 -t}]=...$$
why??
i was told that i will get the original left side of the equation times p.
i didnt get the same result

what is the role of integration factor
??

2. May 30, 2009

### Cyosis

An integrating factor is a function with which you multiply the differential equation to help facilitate the solving of the differential equation.

There was a similar question here a few days ago, where I did part of the calculation.