Show that the two square roots of i are Then show that and Conclude that O Show that ein/4 and ei5/4 log(¹/4) = (2n + 2) πί log(3/4)= [(2x+1)+] i лі log(i¹/2) = (n + 1) ri πί (n = 0, 1, 2, ...) (n = 0, 1, 2, ...). (n = 0, 1, 2, ...). log(i ¹/2) == logi, as stated in Example 5, Sec. 32, by finding the values on the right-hand side of th equation and then comparing them with the final result in part (a).
Show that the two square roots of i are Then show that and Conclude that O Show that ein/4 and ei5/4 log(¹/4) = (2n + 2) πί log(3/4)= [(2x+1)+] i лі log(i¹/2) = (n + 1) ri πί (n = 0, 1, 2, ...) (n = 0, 1, 2, ...). (n = 0, 1, 2, ...). log(i ¹/2) == logi, as stated in Example 5, Sec. 32, by finding the values on the right-hand side of th equation and then comparing them with the final result in part (a).
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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![5. (a) Show that the two square roots of i are
Then show that
and
Conclude that
(b) Show that
ein/4 and ei5/4
log(e/4)=(2n +
- (2x + 1) = ₁
лі
log(e²57/4) = [(2n + 1) + ] i
log(i¹/²) = (n + 1) ri
(n = 0, 1, 2, ...)
(n = 0, +1, +2, ...).
(n = 0, 1, 2, ...).
log(i¹/2) =
logi,
as stated in Example 5, Sec. 32, by finding the values on the right-hand side of this
equation and then comparing them with the final result in part (a).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd92d4692-2cd8-41d1-a3a3-bdc281d20d90%2F08b349f6-2b4b-4074-9247-5108f9bf76a4%2Fadar1igm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. (a) Show that the two square roots of i are
Then show that
and
Conclude that
(b) Show that
ein/4 and ei5/4
log(e/4)=(2n +
- (2x + 1) = ₁
лі
log(e²57/4) = [(2n + 1) + ] i
log(i¹/²) = (n + 1) ri
(n = 0, 1, 2, ...)
(n = 0, +1, +2, ...).
(n = 0, 1, 2, ...).
log(i¹/2) =
logi,
as stated in Example 5, Sec. 32, by finding the values on the right-hand side of this
equation and then comparing them with the final result in part (a).
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