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3.2.3 Example C The three functions 2k, 3k, and (-1)k have the Casoratian 3k 2k+1 3k+1 --1)% = 12 - 2k . 3* . (–1)k + 0. 2k+2 3k+2 (-1)* 2k (-1)k C(k) = Therefore, the functions are linearly independent.

3.2.3 Example C The three functions 2k, 3k, and (-1)k have the Casoratian 3k 2k+1 3k+1 --1)% = 12 - 2k . 3* . (–1)k + 0. 2k+2 3k+2 (-1)* 2k (-1)k C(k) = Therefore, the functions are linearly independent.

Advanced Engineering Mathematics
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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Explain the determaine red and explain the determaine green

3.2.3 Example C The three functions 2k, 3k, and (-1)k have the Casoratian 3k 2k+1 3k+1 -(-1)% | = 12 - 2* . 3k . (–1)* + 0. 2k+2 3k+2 (-1)* 2k (-1)* C(k) = (3.46) Therefore, the functions are linearly independent.
Transcribed Image Text:3.2.3 Example C The three functions 2k, 3k, and (-1)k have the Casoratian 3k 2k+1 3k+1 -(-1)% | = 12 - 2* . 3k . (–1)* + 0. 2k+2 3k+2 (-1)* 2k (-1)* C(k) = (3.46) Therefore, the functions are linearly independent.
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