notes 1-2

notes 1-2 - Solve the initial value problem dy/dt = 6-3 y...

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SECTION 1.2 ANALYTIC SOLUTIONS OF SOME DIFFERENTIAL EQUATIONS Suppose a falling object has mass 20 kg and a drag coeﬃcient of 5 kg/sec. Suppose it is thrown up with velocity 25 m/sec from the edge of a roof 50 meters above the ground. Find its velocity at time t . How long will it take to fall to the ground, and what will be its speed at the time of impact?

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Unformatted text preview: Solve the initial value problem dy/dt = 6-3 y , y (0) = y . Plot the solutions for several values of y . Brieﬂy describe how the solutions resemble, and diﬀer from, each other. HOMEWORK: SECTION 1.2, # 1b, 2abc, 16, 17, 19...
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notes 1-2 - Solve the initial value problem dy/dt = 6-3 y...

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