1. Solve the initial value problem y' = .01y(100 – y) and y(0) = 10.
2. What is the maximum population for the logistic differential equation in question 1?
3. Use Euler's method and the differential equation y' = y(10 – y) and y(1) = 2 to estimate y(1.1), y(1.2), and y(1.3).
4. Use deSolve to solve the differential equation y" = sin(t) and y(0) = 1 and y'(0) = 0 .
5. A ball is dropped from the top of a 100 ft tall building. The acceleration is -32 ft/sec². What equations should be entered in the Y= menu using Differential Equation Graphing Mode in order to graph the height and velocity of the ball as a function of time?
6. Graph the height and velocity from question 5 using RK as the Solution Method. Trace to estimate the height at t = 2.

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