For the equation

$\frac{d^{2}y}{d{t}^2}+k\frac{dy}{dt}+2y=x$

$(10\%)$

$($a$)$ Find the transfer function and put it in the standard gain time constant form.

$(10\%)$

$($b$)$ Discuss the response for values of

Specify for which values the response converges and where $it$ will not.

Write the form $of$ the response without evaluating any coefficients.