The roots of the auxiliary equations of 44 dt -4d + 6x - 0 are 2 + v2i, 2 v2i, i and - i, what is its general solution? dt dt? = C, cos v b. r = Ciet + C2 sin v2t + C3e" cos t + C, sin t a. I V2t +C2 sin v2t + C3 cost t C4 sin t C. C cos v2t + C2 sin v2t + Cse2t cos t + Ce2t sin t d. a = Ciet cos v/2t + Cze sin v2t + C3 cost + C4 sin t COS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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The roots of the auxiliary equations of
44
dt
+7
dt
-4d + 6x = 0 are 2 + v2i, 2 v2i, i and - i, what is its general solution?
dt
I = C, cos v2t + C2 sin v2t + C3 cost + C4 sin t
a.
b. r = Ciet + C2 sin v2t + C3e2" cos t + C, sin t
C.
C cos v2t + C2 sin v2t + Cse2 cos t + C4e2t sin t
d. a = Ciet cos v/2t + Cze sin v2t + C3 cost + C4 sin t
Transcribed Image Text:The roots of the auxiliary equations of 44 dt +7 dt -4d + 6x = 0 are 2 + v2i, 2 v2i, i and - i, what is its general solution? dt I = C, cos v2t + C2 sin v2t + C3 cost + C4 sin t a. b. r = Ciet + C2 sin v2t + C3e2" cos t + C, sin t C. C cos v2t + C2 sin v2t + Cse2 cos t + C4e2t sin t d. a = Ciet cos v/2t + Cze sin v2t + C3 cost + C4 sin t
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