(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I forgot how to do these and just need a little refreshing on how to solve these

2. Relevant equations

y' - 2y = (t^2)(e^2t)

3. The attempt at a solution

y' - 2y = (t^2)(e^2t)

ok so my integrating factor is the value in front of y, right?

so mu(x) = e^int-2

= e^-2t

so then after i multiply whole equation by e^-2t i get:

(e^-2t)y = t^2 (because the e^-2t cancelled the e^2t that was in the right hand term).

SO this is where I totally forgot how to proceed!! Do i integrate both sides, then im done? or am i missing a step?

and if i do integrate then do i use u-sub for the term on LHS?

thanks for any help

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Homework Help: Solve general differential equation: please check my work?

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