Topic-COMPLEX VARIABLES & LAPLACE TRANSFORMATIONS Solve e-3 = -–ie!0

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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Topic-COMPLEX VARIABLES & LAPLACE TRANSFORMATIONS
Solve e-3 = -ie!0
Transcribed Image Text:Topic-COMPLEX VARIABLES & LAPLACE TRANSFORMATIONS Solve e-3 = -ie!0
= -ie10
Hint
e-3
z – 3 = In(-ie")
= In(-i) + 10
z = In(-i) + 13
2nt
: -i
where n E Z
Ti
... In(-i) =
(2nn - ) i = (4n – 1)
Therefore we conclude that the solutions are
Ti
13 +
(4n – 1), where n e Z.
Transcribed Image Text:= -ie10 Hint e-3 z – 3 = In(-ie") = In(-i) + 10 z = In(-i) + 13 2nt : -i where n E Z Ti ... In(-i) = (2nn - ) i = (4n – 1) Therefore we conclude that the solutions are Ti 13 + (4n – 1), where n e Z.
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