The solution to dy = 2 e**y with initial condition (0, -In 5) can be expressed as y = -In (j - ke) for real numbers j dx and k. What are the values of j and k? If = dx - siny, then the solution passing through point (,) is There are initially 1,000 bacteria in a colony. The rate at which the number of bacteria in the colony changes is dN given by dit -=kN, where k is a constant. If the number of bacteria doubles every 21 minutes, which function models the number of bacteria, N(t), after t minutes?