Let P₂ denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2? D. {p(t) | p' (t) is constant} OE. {p(t) | Sp(t)dt = 0} ○F. {p(t) | p' (t) + 6p(t) + 2 = 0}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let P₂ denote the vector space of
polynomials of degree up to 2. Which of the following
subsets of P₂ are subspaces of P₂?
D. {p(t) | p' (t) is constant}
OE. {p(t) | Sp(t)dt = 0}
F. {p(t) | p' (t) + 6p(t) + 2 = 0}
Transcribed Image Text:Let P₂ denote the vector space of polynomials of degree up to 2. Which of the following subsets of P₂ are subspaces of P₂? D. {p(t) | p' (t) is constant} OE. {p(t) | Sp(t)dt = 0} F. {p(t) | p' (t) + 6p(t) + 2 = 0}
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