3a) A linear system is characterized by the following differential equation (below). If the input, f(t) = 1, were applied to this system at t = 0 and it was known that the output and its first derivative were 0 at t = 0, then find the complete response of the system for positive time. () + 5y(t) + 6y() = 6At) %3D 3b) In prob. 3a above, suppose y(0) = 2, and the derivative is still 0 at t = 0. Find the zero input response.
3a) A linear system is characterized by the following differential equation (below). If the input, f(t) = 1, were applied to this system at t = 0 and it was known that the output and its first derivative were 0 at t = 0, then find the complete response of the system for positive time. () + 5y(t) + 6y() = 6At) %3D 3b) In prob. 3a above, suppose y(0) = 2, and the derivative is still 0 at t = 0. Find the zero input response.
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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Transcribed Image Text:3a) A linear system is characterized by the following differential equation (below). If the input,
f(t) = 1, were applied to this system at t = 0 and it was known that the output and its first
derivative were 0 at t = 0, then find the complete response of the system for positive time.
j(t) + 5y(t) + 6y(t) = 6At)
3b) In prob. 3a above, suppose y(0) = 2, and the derivative is still 0 at t = 0. Find the zero input
response.
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