If Co + + + has a real root between 0 and 1. Cn n+1 - 0 2 for the real constants Co, C₁,..., Cn then prove that Co + C₁x + C₂x² + ... + cnxn = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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If
Co +
GRY
2
for the real constants Co, C₁,..., Cn then prove that
Cn
n+1
+
has a real root between 0 and 1.
= 0
=
2
Co + C₁x + c₂x² +. +Cnx" = 0
Transcribed Image Text:If Co + GRY 2 for the real constants Co, C₁,..., Cn then prove that Cn n+1 + has a real root between 0 and 1. = 0 = 2 Co + C₁x + c₂x² +. +Cnx" = 0
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