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Consider the solution of a spring problem in the frequency domain: 3s + 9 – 5 exp(-7s) 9s + 36 X(s) = 2s2 + 16s + 14 (2s2 + 16s + 14)² In the time domain, a possible way to express the solution is given by: r(t) = exp(at) · a cosh(Bt) + (b+c•t) senh(ßt) +d· exp(a(t – 7)) · senh(3(t – 7)) · H(t – y) 1) Determine the value of a, a and ß. 2) Determine the value of b, cd and y

Consider the solution of a spring problem in the frequency domain: 3s + 9 – 5 exp(-7s) 9s + 36 X(s) = 2s2 + 16s + 14 (2s2 + 16s + 14)² In the time domain, a possible way to express the solution is given by: r(t) = exp(at) · a cosh(Bt) + (b+c•t) senh(ßt) +d· exp(a(t – 7)) · senh(3(t – 7)) · H(t – y) 1) Determine the value of a, a and ß. 2) Determine the value of b, cd and y

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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Reply as soon as possible, it is a differential equations problem, you can see it in the picture

Consider the solution of a spring problem in the frequency domain: 3s + 9 – 5 exp(-7s) 9s + 36 | | X(s) 2s2 + 16s + 14 (2s² + 16s + 14)² In the time domain, a possible way to express the solution is given by: - lacoeh(3t) ßt) + (b+ c·t) senh(ßt) +d· exp(a(t – y)) · senh(3(t – )) · H(t – 7) x(t) = exp(at) · 1) Determine the value of a, a and B. 2) Determine the value of b, c d and y
Transcribed Image Text:Consider the solution of a spring problem in the frequency domain: 3s + 9 – 5 exp(-7s) 9s + 36 | | X(s) 2s2 + 16s + 14 (2s² + 16s + 14)² In the time domain, a possible way to express the solution is given by: - lacoeh(3t) ßt) + (b+ c·t) senh(ßt) +d· exp(a(t – y)) · senh(3(t – )) · H(t – 7) x(t) = exp(at) · 1) Determine the value of a, a and B. 2) Determine the value of b, c d and y
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