The number N of bacteria in a culture is given by the model  N = 230ekt,  where t is the time (in hours), with t = 0 corresponding to the time when N = 230. When t = 10, there are 330 bacteria. How long does it take the bacteria population to double in size? To triple in size? (Round your value of k to five decimal places. Round your final answers to two decimal places.)

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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.