Under certain​ conditions, the number of diseased cells​ N(t) at time t increases at a rate N'(t)=Aektwhere A is the rate of increase at time 0​ (in cells per​ day) and k is a constant.   a.Suppose A=50 and at 3 ​days, the cells are growing at a rate of 250 per day. Find a formula for the number of cells after t​ days, given that 300 cells are present at t=0.   b.Use your answer from part a to find the number of cells present after 8 days.

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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.