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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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1 (t) – The Wronskian of y1(t) = t'/2 and y2(t) = t is W(y1, Y2) = ,t'/2. 2 Wronskian of 2t²y" – ty' + 2y = 0, t > 0 is ct'/2 by the Abel's Theorem. Thus Y1 and y2 form a fundamental set of solutions of 2t²y" – ty' + 2y = 0, t> 0. -
Transcribed Image Text:1 (t) – The Wronskian of y1(t) = t'/2 and y2(t) = t is W(y1, Y2) = ,t'/2. 2 Wronskian of 2t²y" – ty' + 2y = 0, t > 0 is ct'/2 by the Abel's Theorem. Thus Y1 and y2 form a fundamental set of solutions of 2t²y" – ty' + 2y = 0, t> 0. -
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