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Consider a system whose model is given by m dx²(t) dt² +c dx(t) dt -+kx(t)=5, where m = 1, c = 5, and k = 10. Which of the following statement(s) is (are) true? Select all that apply. The homogeneous solution has the form of x(t) =C₁e - t - t n This is a critically damped system. This is an over-damped system. This is a unstable system. This is a under-damped system. This is an asymptotically stable system. The homogeneous solution has the form of x(t) =e -500 1 n (C₁cosa +C₂sina}). The homogeneous solution has the form of x(t) = C₁e³¹² + C₂e²²

Consider a system whose model is given by m dx²(t) dt² +c dx(t) dt -+kx(t)=5, where m = 1, c = 5, and k = 10. Which of the following statement(s) is (are) true? Select all that apply. The homogeneous solution has the form of x(t) =C₁e - t - t n This is a critically damped system. This is an over-damped system. This is a unstable system. This is a under-damped system. This is an asymptotically stable system. The homogeneous solution has the form of x(t) =e -500 1 n (C₁cosa +C₂sina}). The homogeneous solution has the form of x(t) = C₁e³¹² + C₂e²²

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider a system whose model is given by m dx²(t) dt² +c dx(t) dt -+kx(t)=5, where m = 1, c = 5, and k = 10. Which of the following statement(s) is (are) true? Select all that apply. The homogeneous solution has the form of x(t) =C₁e - t - t n This is a critically damped system. This is an over-damped system. This is a unstable system. This is a under-damped system. This is an asymptotically stable system. The homogeneous solution has the form of x(t) =e -500 1 n (C₁cosa +C₂sina}). The homogeneous solution has the form of x(t) = C₁e³¹² + C₂e²²
Transcribed Image Text:Consider a system whose model is given by m dx²(t) dt² +c dx(t) dt -+kx(t)=5, where m = 1, c = 5, and k = 10. Which of the following statement(s) is (are) true? Select all that apply. The homogeneous solution has the form of x(t) =C₁e - t - t n This is a critically damped system. This is an over-damped system. This is a unstable system. This is a under-damped system. This is an asymptotically stable system. The homogeneous solution has the form of x(t) =e -500 1 n (C₁cosa +C₂sina}). The homogeneous solution has the form of x(t) = C₁e³¹² + C₂e²²
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