Q1. The biologist G. F. Gause studied the growth of the protozoan Paramecium in the early 1930 s. Through his data, he figured out that the relative growth rate is 0.7944 when y(0)=2, and the carrying capacity is 64. This leads to the logistic model = 0.7944(1–2).y(0) = 2, where time is measured in days. dt (i) (ii) (iii) (iv) Classify the differential equation. Solve the equation for y in terms of t. How long will it take the protozoa to reach 30? What will be the population of protozoa when t → 00.

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