alright guys, I've been trying to tackle this for a couple of hours now.(adsbygoogle = window.adsbygoogle || []).push({});

dy/dt-2y=4-t

my integrating factor is e^(-2t) of course.

dy(e^(-2t))/dt-2ye^(-2t)=4e^(-2t)-te^(-2t)

then I get completely lost. how do I integrate when it's like this? My book simplifies the above equation into

d(e^(-2y))/dt=4e^(-2t)-te^(-2t)

can anyone explain how that simplification occurs??

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Using an integrating factor properly

**Physics Forums | Science Articles, Homework Help, Discussion**