Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please solve this two exercise
Let z be a complex number. Then the solution(s)
of sinhz+coshz=1/e is (are)
None of these
z=2nti-1 where n is an integer.
O z=nti-1 where n is an integer.
Z=-1
does not exist
Transcribed Image Text:Let z be a complex number. Then the solution(s) of sinhz+coshz=1/e is (are) None of these z=2nti-1 where n is an integer. O z=nti-1 where n is an integer. Z=-1 does not exist
Let z be a complex number and f(z) be any function. If C is a closed contour then
Re f. f(2)dz is
$. Re(f(z))dz
equal to the above
None of these
$. Im(f(z))dz
equal to the above
$. Re(f(z))dz
not necessary equal to the above
Transcribed Image Text:Let z be a complex number and f(z) be any function. If C is a closed contour then Re f. f(2)dz is $. Re(f(z))dz equal to the above None of these $. Im(f(z))dz equal to the above $. Re(f(z))dz not necessary equal to the above
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