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we have y1, y2, .., Yn with domain R such that for any t E R , W (y1, y2, ... , yn) # 0. is there any linear n – order differential equation that y,, y2, ..., Yn are the linear independent solutions? why?

we have y1, y2, .., Yn with domain R such that for any t E R , W (y1, y2, ... , yn) # 0. is there any linear n – order differential equation that y,, y2, ..., Yn are the linear independent solutions? why?

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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we have y1, y2, ... , yn with domain R such that for any t ER,W(y,,y2, .., Yn) + 0. is there any linear n – order differential equation that y1, y2, . , yn are the linear independent solutions? why?
Transcribed Image Text:we have y1, y2, ... , yn with domain R such that for any t ER,W(y,,y2, .., Yn) + 0. is there any linear n – order differential equation that y1, y2, . , yn are the linear independent solutions? why?
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