1. How do you find the general solution for the given differential equation?
dP/dt = P(P+3)
Answer: P = (3Ae^(3t))/(1-Ae^(3t))
2. Of the pine trees in Manning Park, 400 000 are infested with a fungus. If aerial spraying with 400 kg/km^2 of a fundicide will reduce the number of trees infested to 40 000, how much is needed per square kilometre to reduce the number of trees infested to 2 000? (assume an exponential relationship.)
Answer: 920.4 kg/km^2