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## Homework Statement

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)

## Homework Equations

## 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.