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(Reminder from Calculus) Here i is the imaginary unit. a) Use the Euler formula, e (cos(0) + i sin(0))" = cos(no) + i sin(no). b) Suppose y(t) = e-2teit solves y" + By' +C =0. What are B and C? cos(0) + i sin (0), to prove that for any n, we have

(Reminder from Calculus) Here i is the imaginary unit. a) Use the Euler formula, e (cos(0) + i sin(0))" = cos(no) + i sin(no). b) Suppose y(t) = e-2teit solves y" + By' +C =0. What are B and C? cos(0) + i sin (0), to prove that for any n, we have

Advanced Engineering Mathematics
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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(Reminder from Calculus) Here i is the imaginary unit. a) Use the Euler formula, ei (cos(0) + isin(0))" = cos(no) + i sin(no). b) Suppose y(t) =e-2t eit solves y" + By' +C =0. What are B and C? cos (8) + i sin (0), to prove that for any n, we have
Transcribed Image Text:(Reminder from Calculus) Here i is the imaginary unit. a) Use the Euler formula, ei (cos(0) + isin(0))" = cos(no) + i sin(no). b) Suppose y(t) =e-2t eit solves y" + By' +C =0. What are B and C? cos (8) + i sin (0), to prove that for any n, we have
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