Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | ƒ'(-3) = f(1)} where P₂[x] is the vector space of polynomials in x with degree at most 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | f'(-3) = f(1)} where P₂[x] is the vector space of polynomials in x with
degree at most 2.
You can enter polynomials using notation e.g., 5+3xx for 5 + 3x².
p(x) =
, q(x) =
Transcribed Image Text:Find a basis {p(x), q(x)} for the vector space {f(x) = P₂[x] | f'(-3) = f(1)} where P₂[x] is the vector space of polynomials in x with degree at most 2. You can enter polynomials using notation e.g., 5+3xx for 5 + 3x². p(x) = , q(x) =
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