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d y(t) +5. dt dy( t) da(t) + 6y (t) = + 4x (t)? Assume the input dt What is the force response for a system defined by differential equation æ (t) = eu(t) and with conditions y (0) = 3; = 0 O 3e 2t - 3/2e 3t + 3/2et 3e 2t + 3/2e 3t + 3/2e* 3e 2t - 3/2e 3t - 3/2et O -3e-2t + 3/2e-3t + 3/2et

d y(t) +5. dt dy( t) da(t) + 6y (t) = + 4x (t)? Assume the input dt What is the force response for a system defined by differential equation æ (t) = eu(t) and with conditions y (0) = 3; = 0 O 3e 2t - 3/2e 3t + 3/2et 3e 2t + 3/2e 3t + 3/2e* 3e 2t - 3/2e 3t - 3/2et O -3e-2t + 3/2e-3t + 3/2et

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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d² y(t) What is the force response for a system defined by differential equation +5 + by (t) dt dy(t) da(t) + 4x (t)? Assume the input dt x (t) = e-u(t) and with conditions y (0) = 3; = 0 O 3e 2t - 3/2e-3t + O 3e 2t + 3/2e3t + 3/2et O 3e 2t - 3/2e 3t - 3/2et O -3e 2t + 3/2e-3t + 3/2et
Transcribed Image Text:d² y(t) What is the force response for a system defined by differential equation +5 + by (t) dt dy(t) da(t) + 4x (t)? Assume the input dt x (t) = e-u(t) and with conditions y (0) = 3; = 0 O 3e 2t - 3/2e-3t + O 3e 2t + 3/2e3t + 3/2et O 3e 2t - 3/2e 3t - 3/2et O -3e 2t + 3/2e-3t + 3/2et
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