A continuous – time system is represented by the following differential equation, d²y(t) dy(t) + 7 dt + 6y(t) = 2 x(t). dt2 Compute the output response of the system where x(t) = 6 u(t) and the initial condition on the system are given by y(0) = 1 and dy(t) = 1 when t = 0. Apply the second order dt differential equation method.
A continuous – time system is represented by the following differential equation, d²y(t) dy(t) + 7 dt + 6y(t) = 2 x(t). dt2 Compute the output response of the system where x(t) = 6 u(t) and the initial condition on the system are given by y(0) = 1 and dy(t) = 1 when t = 0. Apply the second order dt differential equation method.
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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Please use the method mentioned and please show all calculations steps, so that I can understand well, and thank you for your help
![A continuous – time system is represented by the following differential equation,
d²y(t)
dy(t)
+ 7
dt
+ 6y(t) = 2 x(t).
dt2
Compute the output response of the system where x(t) = 6 u(t) and the initial condition
on the system are given by y(0) = 1 and
dy(t)
= 1 when t = 0. Apply the second order
dt
differential equation method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ba609e5-0769-4eb7-b19b-3607bd62c7b0%2F72a52df5-724f-4c03-87d3-33b55bf744e6%2Fl9i6at_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A continuous – time system is represented by the following differential equation,
d²y(t)
dy(t)
+ 7
dt
+ 6y(t) = 2 x(t).
dt2
Compute the output response of the system where x(t) = 6 u(t) and the initial condition
on the system are given by y(0) = 1 and
dy(t)
= 1 when t = 0. Apply the second order
dt
differential equation method.
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