In Section 1.3 we saw that the autonomous differential equation , where k is a positive
Chapter 2, Problem 40(choose chapter or problem)
In Section 1.3 we saw that the autonomous differential equation , where k is a positive constant and g is the acceleration due to gravity, is a model for the velocity v of a body of mass m that is falling under the influenc of gravity. Because the term kv represents air resistance, the velocity of a body falling from a great height does not increase without bound as time t increases. Use a phase portrait of the differential equation to fin the limiting, or terminal, velocity of the body. Explain your reasoning.
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