necesirally -1, 0 , or 1 as

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I'm habing trouble understanding your reasoning. Specifically, the way you use ein the induction cases. You are using ei = x or q, which are not necesirally -1, 0 , or 1 as estipulated in the premise.

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Hi, thank you for the clairification! However, is there a formal, i.e. a more "mathematical" way to show the second case, using the induction hypothesis? How can we show that if e1 * 3 + e0 = n with e1, e0 = 1, then n+1 = e2 * 32 + e1 * 3 + e0 with e2 = 1 and e1, e0 = -1?

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