(p\q) = [*p(t)q(t)dt. (Note: the limits are unusual). Let U = Spann {P₁, P2} C P₂ where p₁ (t) = 1 and p₂(t) = t² Find an ON-base in U with respect to (-->
(p\q) = [*p(t)q(t)dt. (Note: the limits are unusual). Let U = Spann {P₁, P2} C P₂ where p₁ (t) = 1 and p₂(t) = t² Find an ON-base in U with respect to (-->
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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Transcribed Image Text:For two polynomials p and q in P₂ let
(plg)
(p{q} = [₁ p(t)q(t)}dt.
(Note: the limits are unusual). Let U = Spann {P₁, P₂} C P₂ where p₁ (t) = 1 and p₂ (t) = t²
Find an ON-base in U with respect to (-|->
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