Solve 6a and 6c. Worry not about 6b, and I will not wait to give you a THUMBS UP.

. a) Use separation of variables to nd the exact solution of (5.3) when N0 = 1000. Using the answer, nd how long it will take for N to equal 125. (Note: The calculus will be simpler if you rewrite the equation as 62f=.02(N2500) and divide by (N 2500) when separating the variables.) b) Using the program ode.xls (and the modied Euler method), solve the differential equation (5.3) numerically and determine with the software how long it will take before N reaches 125. c) Suppose when the population reaches a size of 125, a ban on harvesting is imposed. Assuming the growth rate of the species remains the same as in a), how long will it take for the population to recover to its original size of 1000? You can use either exact formulas or the program ode.xls to nd the