concern the differential equationdx dt D kx2;where k is a constant.Suppose the velocity
Chapter 3, Problem 46(choose chapter or problem)
concern the differential equationdx dt D kx2;where k is a constant.Suppose the velocity v of a motorboat coasting in water satises the differential equation dv=dt D kv2. The initial speed of the motorboat is v.0/ D 10 meters per second (m/s), and v is decreasing at the rate of 1 m/s2 when v D 5 m/s. Based on the result of 43, long does it take for the velocity of the boat to decrease to 1 m/s? To 1 10m/s? When does the boat come to a stop?
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