A culture of bacteria obeys the law of uninhibited growth.(a) If N is the number of bacteria in the culture and t is the time in hours, express N as a function of t.(b) If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the culture after 5 hours?(c) How long is it until there are 20,000 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.