Q1 Let ø(x) = x² for 0 < x < 1. • Calculate its Fourier sine series by odd extension; • Calculate its Fourier cosine series by even extension; • Calculate its Full Fourier series on [-1, 1];

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1 Let ø(x) = x² for 0 <x < 1.
• Calculate its Fourier sine series by odd extension;
• Calculate its Fourier cosine series by even extension;
• Calculate its Full Fourier series on [-1,1);
Transcribed Image Text:Q1 Let ø(x) = x² for 0 <x < 1. • Calculate its Fourier sine series by odd extension; • Calculate its Fourier cosine series by even extension; • Calculate its Full Fourier series on [-1,1);
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