The rate of increase of the human population is very consistently directly proportional to the population...

   

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The rate of increase of the human population is very consistently directly proportional to the population itself. a.) Write a differential equation that models the human population based on this fact. Then solve that equation to find the general solution, with a couple of constants. Be sure to start by defining any variables that you will use. b.) The population of humans was about 2.5 billion in 1950, and just hit 8 billion in 2023. Use these values to find the specific solution to your answer from the above general solution. Round your constants to 5 digits behind the decimal place. The rate of increase of the human population is very consistently directly proportional to the population itself. a.) Write a differential equation that models the human population based on this fact. Then solve that equation to find the general solution, with a couple of constants. Be sure to start by defining any variables that you will use. b.) The population of humans was about 2.5 billion in 1950, and just hit 8 billion in 2023. Use these values to find the specific solution to your answer from the above general solution. Round your constants to 5 digits behind the decimal place.