Example Solve z"+ 512U3+ j512=0 or Find all the roots of fl3)=2"+572V3+j5]2. 10 on What ure the ten voots of -5/2V3-j512? 10 soln: f(7) ={'+512V3+;512=0 -512 V3 -1512 z° = 1024 cjf- ET) 10 10 Z = T1024 5T-+ 2k 70 2 ell = 2 cjs(-nCh)+ 2ak) Genenl brpressin Geneml Bxpression 10 5

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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Question
How did the value on the red circle became -5/6 pi? Please explain.
Example
Solve z"+ 512VB+ j512 =O or
10
Find all the roots of f(2)=2"4512V3+j512.
on What ure the ten voots of -5/2V3 -j512?
10
soln: f(7) ={"+512V3+)512=0
-512 V3 -1512
z° = 1024 cjf- ET)
10
Z = T1024 5T-+ 2k
70
2 olu = 2 cjs(-Ch) + 20k) Geneml brpressin
General b
Expression
5
Transcribed Image Text:Example Solve z"+ 512VB+ j512 =O or 10 Find all the roots of f(2)=2"4512V3+j512. on What ure the ten voots of -5/2V3 -j512? 10 soln: f(7) ={"+512V3+)512=0 -512 V3 -1512 z° = 1024 cjf- ET) 10 Z = T1024 5T-+ 2k 70 2 olu = 2 cjs(-Ch) + 20k) Geneml brpressin General b Expression 5
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