d) ((f g)| for some CEZ, for all xE Z, f(x) – g(x) = C} e) {f, 8) | f(0) = g(1) and f(1) = g(0)}

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What are the equivalence classes of the equivalence relations  (answer d and e)

 

(DO NOT ANSWER IF THEY ARE EQUIVALENCE RELATIONS OR NOT, THAT IS NOT THE QUESTION) thank you!

a) {(f, g) |f(1) = g(1)}
b) {(f, g) | f(0) = g(0) or f(1) = g(1)}
c) {(f, g) | f(x) - g(x) = 1 for all x EZ}
d) {( g)| for some CEZ, for all x E Z, f(x) –
g(x) = C} A
e) {(f, g) | f(0) = g(1) and f(1) = g(0)}
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Transcribed Image Text:a) {(f, g) |f(1) = g(1)} b) {(f, g) | f(0) = g(0) or f(1) = g(1)} c) {(f, g) | f(x) - g(x) = 1 for all x EZ} d) {( g)| for some CEZ, for all x E Z, f(x) – g(x) = C} A e) {(f, g) | f(0) = g(1) and f(1) = g(0)} %3D %3D %3D %3D %3D %3D
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