5. For the overdamped oscillations, the displacement x(t) is expressed by the following x(t)-e-t [A et + Bet]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations e = coshy+sinhy e = coshy-sinhy A. x(t) = (cosh Bt-sin ßt) [(A + B) cosh wt- (A-B) sinh wt] B. C. x(t) = (cosh Bt+ sin ßt)[(A + B) cosh at + (A-B) sinhot] x(t) = (cosh ßt -sin ßt) [(A-B) cosh wt+ (A-B) sinh wt] x(t) = (cosh ßt - sin ßt) [(A + B) cosh wt+ (A-B) sinh wt] D.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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5. For the overdamped oscillations, the displacement x(t) is expressed by the
following x(t)-e-t [Aeut + Bet]. The displacement can be
expressed in terms of hyperbolic functions as the following:
Hint: Use the following relations
e? = coshy + sinh y
e = coshy-sinhy
A.
x(t) = (cosh Bt - sin ßt) [(A + B) cosh wt - (A-B) sinh wt]
B.
C.
x(t) = (cosh ßt+sin ßt) [(A + B) coshat + (A-B) sinh ct]
x(t) = (cosh ßt - sin ßt) [(A-B) cosh wt+ (A-B) sinh wt]
x(t) = (cosh ßt - sin ßt) {(A + B) cosh wt + (A-B) sinh wt]
D.
A.
OB.
O C.
O D.
Transcribed Image Text:5. For the overdamped oscillations, the displacement x(t) is expressed by the following x(t)-e-t [Aeut + Bet]. The displacement can be expressed in terms of hyperbolic functions as the following: Hint: Use the following relations e? = coshy + sinh y e = coshy-sinhy A. x(t) = (cosh Bt - sin ßt) [(A + B) cosh wt - (A-B) sinh wt] B. C. x(t) = (cosh ßt+sin ßt) [(A + B) coshat + (A-B) sinh ct] x(t) = (cosh ßt - sin ßt) [(A-B) cosh wt+ (A-B) sinh wt] x(t) = (cosh ßt - sin ßt) {(A + B) cosh wt + (A-B) sinh wt] D. A. OB. O C. O D.
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