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

1) Find the General Solution to:

(D^{3}- D^{2}+ D - I)[y] = t^{5}+ 1

2) Prove or disprove that there are two constants A and B such that:

t^{2}D - tD - 8I = (tD + AI)(tD + BI)

2. Relevant equations

3. The attempt at a solution

1) I can't figure out how to attempt this one. Doesn't make sense to me.

2) I should FOIL out the RHS of the equation, but I did that on paper and it didn't make too much sense to me.

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# Help with 2 problems!

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