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x" + 2x' + 10x = 6 cos (7t), x(0) = 0, x'(0) = 0. algebraic form of the steady-state solution of the proble os(7t) + Dt sin(7t) of the Initial value problem:

x" + 2x' + 10x = 6 cos (7t), x(0) = 0, x'(0) = 0. algebraic form of the steady-state solution of the proble os(7t) + Dt sin(7t) of the Initial value problem:

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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Consider the the Initial value problem. x" + 2x + 10x = 6 cos (7t), x(0)=0, x'(0) = 0. - Which of the following is the simplest algebraic form of the steady-state solution of the problem? (check one) O A. y = At cos(7t) + B cos(7t) - OB. y = A cos(7t) + B sin(7t) OC. y = At sin(7t) + B sin(7t) OD. y= A cos (7t) + B sin(7t) + Ct cos(7t) + Dt sin (7t) OE. All of the above are solutions Enter the steady-periodic solution sp of the Initial value problem: 9. X sp =
Transcribed Image Text:Consider the the Initial value problem. x" + 2x + 10x = 6 cos (7t), x(0)=0, x'(0) = 0. - Which of the following is the simplest algebraic form of the steady-state solution of the problem? (check one) O A. y = At cos(7t) + B cos(7t) - OB. y = A cos(7t) + B sin(7t) OC. y = At sin(7t) + B sin(7t) OD. y= A cos (7t) + B sin(7t) + Ct cos(7t) + Dt sin (7t) OE. All of the above are solutions Enter the steady-periodic solution sp of the Initial value problem: 9. X sp =
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