Let L be any positive number. Show that the functions 1, sin(
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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![5. Let L be any positive number. Show that the functions 1, sin("T) and
cos("T), forn =
means tha they form an orthogonal system of functions. Is this system or-
1,2,... are orthogonal to each other in L2([-L, L]). This
thonormal?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd060247b-6254-422b-a1e1-39a452056ba6%2Fd9f29763-9f35-42fe-8f5c-15197427fa45%2F71mjeg2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. Let L be any positive number. Show that the functions 1, sin("T) and
cos("T), forn =
means tha they form an orthogonal system of functions. Is this system or-
1,2,... are orthogonal to each other in L2([-L, L]). This
thonormal?
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