I need only solutions For z € C\ {0} letf(z) = e2/(x-1)10415z3sin zz4motThen,o f(z)has a simple pole in z= 0o Res,(1) = 1f(z)dz = 4m izl=2O f(z)has an essential singularity in z = 0

Name: I need only solutions For z € C\ {0} letf(z) = e2/(x-1)10415z3sin zz4m
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Description: I need only solutions For z € C\ {0} letf(z) = e2/(x-1)10415z3sin zz4motThen,o f(z)has a simple pole in z= 0o Res,(1) = 1f(z)dz = 4m izl=2O f(z)has an essential singularity in z = 0

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Answered: For z €C\ {0} let f(z) = e2/(z-1) sin z…

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For z €C\ {0} let f(z) = e2/(z-1) sin z z4 1 73 Then, 5704 O f(z) has a simple pole in z = 0 O Res, (1) = 1 f(z)dz = |z%3D2 !l = zp(z)J O f(z)has an essential singularity in z = 0 76

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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Topic Video

Question

I need only solutions

For z € C\ {0} let
f(z) = e2/(x-1)
1
0415
z3
sin z
z4
mot
Then,
o f(z)has a simple pole in z= 0
o Res,(1) = 1
f(z)dz = 4m i
zl=2
O f(z)has an essential singularity in z = 0

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