The number of bacteria in a liquid culture is observed to grow at a rate proportional to the number of cells present. At the beginning of the experiment there are 104 cells and after 3 hours there are 3 x 105 cells. a Calculate the number of bacteria after 1 day of growth if this rate of growth continues. b Determine the doubling time of the bacteria.

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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.