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b. Write down the equation describing the solution's limiting behaviour as t → ∞.

b. Write down the equation describing the solution's limiting behaviour as t → ∞.

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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Question

Solve b please

a. Suppose the current Q flowing through an electrical circuit satisfies the differential equation Q" + Q'+2 Q = 4 cos (t) Which of the following is the general solution? = cqe2 cos (블) + cze i sin (끌) +2 cos (t) + 2 sin () + c2e () -늘 sin + C2e (4) Q = cje- cos + cos (t) + 2 sin (t) 2 (공) + ©ze" -2 t sin (Vt) + cos (t) + 2 sin (t) -2 t cos Q = 2 (5) () -2t + c2e O Q = ce-2 t cos sin 2 +2 cos (t) +2 sin (t) 2 b. Write down the equation describing the solution's limiting behaviour as t → o. a |a| sin (a) Q (t) =
Transcribed Image Text:a. Suppose the current Q flowing through an electrical circuit satisfies the differential equation Q" + Q'+2 Q = 4 cos (t) Which of the following is the general solution? = cqe2 cos (블) + cze i sin (끌) +2 cos (t) + 2 sin () + c2e () -늘 sin + C2e (4) Q = cje- cos + cos (t) + 2 sin (t) 2 (공) + ©ze" -2 t sin (Vt) + cos (t) + 2 sin (t) -2 t cos Q = 2 (5) () -2t + c2e O Q = ce-2 t cos sin 2 +2 cos (t) +2 sin (t) 2 b. Write down the equation describing the solution's limiting behaviour as t → o. a |a| sin (a) Q (t) =
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