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Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt=kv....

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Suppose the velocity v of a motorboat coasting in water satisfies the differential equation dv/dt=kv. The initial speed of the motorboat is v(0) = 1 m/s. The speed at 2 seconds is 5 m/s. Find the speed at t = 1 second.

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