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Find and solve a differential equation governing population growth with given conditions

The population of a town at time t = 0 is 365. The population growth factor is e, and the town experiences a death rate of one percent of the population per day. Find a differential equation modeling the population of the town as a function of time and find

  1. the actual population of the town after t years,
  2. the cumulative total of the fatalities from the town’s death rate.

Incomplete.

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