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transgalactic
May30-09, 01:07 PM
\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
??

Cyosis
May30-09, 01:16 PM
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.

http://www.physicsforums.com/showthread.php?t=316907

Check post 4.