(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

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# Solve general differential equation: please check my work?

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