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

How can I annihilate the following ?

4e^{-2t}*cos(2t)

2. Relevant equations

3. The attempt at a solution

I know that if I want to annihilate e^{-t}

it would be (D-1) and to annihilate cos(2t) it would be (D^{2}+2^{2})

but what happens if they are multiplied ?

how do I annihilate this ?

I tried something and I'm not sure it's correct but I got

(D^{2}+4)/(D-2)

?

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# Homework Help: ODEs- annihilator method

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