Problem From Newton's Law of Cooling, we can use the differential equation dT/dt= -k(T-Ts) where Ts is the surrounding temperature, k is a positive constant, and T is the temperature. Let [tex]\tau[/tex] be the time at which the initial temperature difference T0-Ts has been reduced by half. Find the relation between k and [tex]\tau[/tex]. Work I have found the temperature equation for the object to be T(t) = Ts + (T0-Ts)e-kt If the initial temperature difference is reduced by half, i tried T(t) = Ts + 0.5(T0-Ts)e-kt but couldn't solve it any further. Could someone please shed some light on what i should do next?