The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 13% per hour. An initial sample is obtained from this population, and after two hours, the sample has grown to 2633 bacteria. Find the number of bacteria in the initial sample. Round your answer to the nearest integer. Note: This is a continuous exponential growth model.And though the growth rate parameter is 13% per hour, the actual growth is not 13% each hour.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.