The price p(t) of a particular commodity varies in such a way that its rate of change with respect to time is proportional to the shortage D S, where DUI] and S(p) are the linear demand and supply functions D: 7 6p and 52 3+ 2}). Given that krepresents the constant of proportionality, which differential equation best describes the situation? a. E = k(44p) tit dp _ k b' E _ 43:: as _ _ c E k(4 8p)