According to Newton's law of cooling the rate of change of an object's temperature T is directly proportional to the difference of the object's temperature T' and the ambient temperature 71 . Formulate an ODE of the situation and using a positive proportionality constant & and pick the correct one from the list. (0.25 points) dT dt - k (T - T1) dt dT = k (T - T1 ) dT + KT1 = 0 (ar - T1 =0 Assuming that ambient temperature T1 is constant, categorize the ODE (0.25 points) First order nonlinear separable ODE First order nonlinear ODE First order linear separable ODE First order linear ODE Using the initial condition T (0) = To , solve the ODE (0.5 points) ? sin (a) T (t) =