Suppose a population is growing according to the logistic formula  N =  530 1 + 3e−0.41t,  where t is measured in years. (a) Suppose that today there are 200 individuals in the population. Find a new logistic formula for the population using the same K and r values as the formula above, but with initial value 200. (Round equation parameters to two decimal places.) N =      (b) How long does it take the population to grow from 200 to 428 using the formula in part (a)? (Round your answer to two decimal places.) t =   yr

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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.