Here defined the hyberbolie functim diretly in telm of The enponential furictim ;). simh(x) This is defined by The formiln, sinh(n) e^- e-h 11) cosha). This is defined by the formula, tek 2 e Cers h (u) = tan h(n), This is defined by The formula, e-er tanh(n) = sinh(n) ニ Cos h n) exte-x Iv) coseeh(a). This is defined by the for male, Coseeh (n) = ニ Sin hin) 2 . coscch(x) = / 火to ex e-X 2 v) seehin) = ニ coshin) exte-R = eteu 2. .'. seeh (x) e'te Coshin) Simhin) vi) coth(n) = ニ etex ete-" eeu' :coth(n) = en_
Here defined the hyberbolie functim diretly in telm of The enponential furictim ;). simh(x) This is defined by The formiln, sinh(n) e^- e-h 11) cosha). This is defined by the formula, tek 2 e Cers h (u) = tan h(n), This is defined by The formula, e-er tanh(n) = sinh(n) ニ Cos h n) exte-x Iv) coseeh(a). This is defined by the for male, Coseeh (n) = ニ Sin hin) 2 . coscch(x) = / 火to ex e-X 2 v) seehin) = ニ coshin) exte-R = eteu 2. .'. seeh (x) e'te Coshin) Simhin) vi) coth(n) = ニ etex ete-" eeu' :coth(n) = en_
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
(b) Sketch, on separate graphs, each of the functions in part (a).
Transcribed Image Text:る
Here defined the hyberbolie functim direetly
in telm of The enponential functim
;). simh(x)
This is defined by The
formulu,
sinhim) = ee
ニ
2
ii)
11) coshu). This is de fineod by the
formula;
Cers h (u) =
e
tek
2
li1) tanhn), This is defined by The
formula,
-ze
tanh(n) =
sinh(n)
ニ
Crs h (n)
Iv) formale,
coseeh (n), This is defined by the
Coseeh(n) :
2
ニ
sinhen)
ex eX
2
2
. cesceh(x)
eX e-X
v) seehin) =
ニ
coshin)
eute
二
exten
2.
'. seeh(x) =
e"ten
Coshin)
Simhin)
etek
vi) coth(n) =
etex
%3D
eneu'
: coth(n) =
ete-
%3D
Xキo ,
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