(Solved): Consider a continuous LTI system described by the following differential equa ...

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Consider a continuous LTI system described by the following differential equation \[ \frac{d^{3} y}{d t^{3}}+6 \frac{d^{2} y}{d t^{2}}+11 \frac{d y}{d t}+6 y=x \] (a) Determine the system transfer function (b) Determine region of convergence (ROC) for each of the following: (i) The system is causal (ii) The system is stable (iii) The system is neither causal nor stable