/hich of the following subsets of P2 are subspaces of P2? A. {p(t) | So p(t)dt = 0} B. {p(t) | p'(t) + 9p(t) +3 = 0} C. {p(t) | p(0) = 7} D. {p(t) | p'(t) is constant } DE. {p(t) | p'(2) = p(1)} F. {p(t) | p(4) = 0} %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of the following subsets of P2 are subspaces of P2?
OA. {p(t) | So p(t)dt = 0}
ов. {p(t) | p'(€) + 9p(t) + 3 — 0}
ос. (p(t) | p(0) — 7}
{p(t) | p'(t) is constant }
O E. {p(t) | p'(2) = p(1)}
OF. {p(t) | p(4) = 0}
O D.
Transcribed Image Text:Which of the following subsets of P2 are subspaces of P2? OA. {p(t) | So p(t)dt = 0} ов. {p(t) | p'(€) + 9p(t) + 3 — 0} ос. (p(t) | p(0) — 7} {p(t) | p'(t) is constant } O E. {p(t) | p'(2) = p(1)} OF. {p(t) | p(4) = 0} O D.
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