Question: use matlab please 1. A causal system is given by the differential equation as: y(t)+6y(t)+lly'(t)+6y(t)=x(t). Use Laplace transform to find the transfer function H(s) by

 use matlab please 1. A causal system is given by the

use matlab please

1. A causal system is given by the differential equation as: y"(t)+6y"(t)+lly'(t)+6y(t)=x(t). Use Laplace transform to find the transfer function H(s) by hand (Practice by yourself). use tf to build the transfer function system model Hi use zpk to convert the transfer function system model to a zero-pole-gain system model H2 use pzmap to produce a pole-zero plot use pole to find the poles use isstable to determine if the system is stable; use residue to compute a partial fraction expansion and find the impulse response h(t). Hint: because the system is causal, the ROC must be the right half-plane to the right of the rightmost pole

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