Assume that a system is either operating normally or has failed. The following two first-order linear differential equations describe such a system: P()/ +P()=0 P0()/ +P0()=0 where is the system constant failure rate. Pj (t) is the probability that the mining system is in state j at time t; for j = 0 (operating normally), j = f (failed). At time t = 0, Pf (0) = 1 and P0 (0) = 0 Find the solutions for P0() and P()