The following differential equations represent LTI systems with input (x(t)) and output (y(t)). Find transfer functions. (a)
Question:
The following differential equations represent LTI systems with input \(x(t)\) and output \(y(t)\). Find transfer functions.
(a) \(\dddot{y}(t)+2 \ddot{y}(t)+5 \dot{y}(t)+6 y(t)=3 \dot{x}(t)+x(t)\)
(b) \(\dddot{y}(t)+10 \ddot{y}(t)+2 \dot{y}(t)+y(t)+2 \int_{0}^{t} y(\tau) d \tau=\dot{x}(t)+2 x(t)\)
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