Let L be any positive number. Show that the functions 1, sin(

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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?
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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