pnts$)$

$h(t)$ is the impulse response of a causal system whose transfer function in Laplace domain is

$H(s)=\frac{10(1-s)}{(s+10)(s+1)}(5)$

$($a$)$ Find the differential equation that describes the system.

$($b$)$ Is the system stable? Explain briefly in one sentence:

$($c$)$ Find the slope of the system's unit step response, $s(t),$ at $t=0^{+}.$

$($d$)$ What is the ROC of the Laplace transform of the stable inverse of the above system?

$10-10s=s^2$