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## Homework Statement

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)

## Homework Equations

Then the exponential and differential equation would be:

P(t) = 10^6 * (ln(1,6) * t / 240)

## 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.