Bacteria growth A bacteria culture contains 200 cells initially and grows at a rate proportional to its size. After half an hour the population has increased to 360 cells.(a) Find the number of bacteria after t hours.(b) Find the number of bacteria after 4 hours.(c) Find the rate of growth after 4 hours.(d) When will the population reach 10,000?

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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.