1. A causal system is given by the differential equation as: y(t)+6y(t)+11y(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 H1 - 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