A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of the bacteria is growing at a rate of 4 grams per hour after 3 hours.

a. Write down the differential equation the mass of the bacteria, m, satisfies:
b. Find the general solution of this equation. Use A as a constant of integration.
c. Which particular solution matches the additional information? m(t) =
d. What was the mass of the bacteria at time t=0? mass =