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34 (a) Show that Deven(x) = t(v(x) + u(– x) is always even. (b) Show that Poda(x) = {(»(x) – v(– x)) is always odd. 35 By Problem 34 or otherwise, write (x + 1)' and 1/(x + 1) as an even function plus an odd function.

34 (a) Show that Deven(x) = t(v(x) + u(– x) is always even. (b) Show that Poda(x) = {(»(x) – v(– x)) is always odd. 35 By Problem 34 or otherwise, write (x + 1)' and 1/(x + 1) as an even function plus an odd function.

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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34 (a) Show that Deven(x) = t(v(x) + u(– x) is always even. (b) Show that Poda(x) = {(»(x) – v(– x)) is always odd. 35 By Problem 34 or otherwise, write (x + 1)' and 1/(x + 1) as an even function plus an odd function.
Transcribed Image Text:34 (a) Show that Deven(x) = t(v(x) + u(– x) is always even. (b) Show that Poda(x) = {(»(x) – v(– x)) is always odd. 35 By Problem 34 or otherwise, write (x + 1)' and 1/(x + 1) as an even function plus an odd function.
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