r's = sr, for all 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need help on how to do (6) for modern algebra

r's = sr, for all 0 <i <n. [Proceed by induction on i and use the fact that
ri+'s =r(r's) together with the preceding calculation.] This indicates how to
commute s with powers of r.
Transcribed Image Text:r's = sr, for all 0 <i <n. [Proceed by induction on i and use the fact that ri+'s =r(r's) together with the preceding calculation.] This indicates how to commute s with powers of r.
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The given statement is : ris=sr-i ,0in

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