(4) If p(x) = ao + a₁ + a₂(1 + x²), calculate L" (p(x)).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer part (4)only
![23:08
7 November
15:31
7. Let L be the operator on P[r]3 defined by
-Fach of t
1-[20
5G 54
Edit
L(p(x)) = xp'(x) +p"(x)
(1) Find the matrix A representing with respect to [1, x, x²].
(2) Find the matrix B representing with respect to [1, x, 1 + x²].
(3) Find the matrix S such that B = S-¹AS.
(4) If p(x) = a₁ + a₁ + a₂(1 + x²), calculate L" (p(x)).
UJ
(4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31ca2837-4270-45c6-8f74-bc32489909cd%2Fd7447118-a310-4c03-a5b6-67226921c1c7%2Fadomds3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:23:08
7 November
15:31
7. Let L be the operator on P[r]3 defined by
-Fach of t
1-[20
5G 54
Edit
L(p(x)) = xp'(x) +p"(x)
(1) Find the matrix A representing with respect to [1, x, x²].
(2) Find the matrix B representing with respect to [1, x, 1 + x²].
(3) Find the matrix S such that B = S-¹AS.
(4) If p(x) = a₁ + a₁ + a₂(1 + x²), calculate L" (p(x)).
UJ
(4
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