Page 211, problems:

• 34   Answer:   x(t) = e^–t cos 2t + 3 sin 2t

• Follow up to Problem 34:
  1. What is the steady state amplitude? Answer:   3 feet
  2. What is the steady state period? Answer:   π sec/cycle

• 35

• Follow up to Problem 35:
  1. What is the steady state amplitude? Answer:   1/4 foot
  2. What is the steady state frequency? Answer:   (2/π) cycle/sec

• 37

• Follow up to Problem 37:
  1. What is the steady state amplitude? Answer: sqrt(85)/4 meters
  2. What is the steady state frequency? Answer: (2/π) cycle/sec

• 41, 42 (examples of pure resonance)

Use Maple wherever possible to check your work. See the Maple tutorial Solving Differential Equations.

Also use Maple to plot your solutions as shown in this previous assignment.

These examples were handed out in class:

1. Example 5 — Forced Motion
   See its graph.

2. Example 6 — Undamped, Forced Motion
   See its graph.

3. Example 7 — Pure Resonance
   See its graph.

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