1. The problem statement, all variables and given/known data Viruses are reproducing exponentially, while the body eliminates the viruses. The elimination rate is constant, 50000 per hour. I decided to take down on the minute level, so it would be 50000/60. Pinitial is 10^6 k is ln(1,6)/240, since the growth rate is 160% in 4 hours. Then the exponential and differential equation would be: P(t) = 10^6 * (ln(1,6) * t / 240) 2. Relevant equations Then the exponential and differential equation would be: P(t) = 10^6 * (ln(1,6) * t / 240) 3. The attempt at a solution dP/dt = P*k ...., right? How can I add up the elimination rate to the differential equation. And I should integrate this to find the specific moment when the population reaches 10^12? I am somehow not feeling good about this solution. I would appreciate if you help.