Question: 1. The following differential equation models a population whose growth is sea- sonal. (You can think of rabbits who may reproduce faster in the summer

1. The following differential equation models a population whose growth is sea- sonal. (You can think of rabbits who may reproduce faster in the summer when food is plentiful than in the winter when it is harder to find food.) dP dt = kP cos(rt - 6) k, r, o are all positive constants. 1 (a) Solve this differential equation with initial condition P(0) = Po. (b) Using Desmos or another online slope field generator, explore how varying k, r, o affects the solutions. Summarize your findings. (Hint: only vary one parameter at a time and leave the others fixed)

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