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1 Let R= {(x,ex):xe R.n € Z}. (Here e = 2.71828... as usual.) Prove that R is an equivalence relation on the set of real numbers.

1 Let R= {(x,ex):xe R.n € Z}. (Here e = 2.71828... as usual.) Prove that R is an equivalence relation on the set of real numbers.

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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Please can you help me with this proof, thank you.

1 Let R= {(x,e"x): xER,n € Z}. (Here e = 2.71828... as usual.) Prove that R is an equivalence relation on the set of real numbers.
Transcribed Image Text:1 Let R= {(x,e"x): xER,n € Z}. (Here e = 2.71828... as usual.) Prove that R is an equivalence relation on the set of real numbers.
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