1. Given the initial value problem y' = .01y(100 - y) and y(0) = 10, use EULERT to estimate y(3). Use a step size of 0.5 and 0.1.
2. What is the maximum value of y in the initial value problem in Question 1?
3. Consider the initial value problem given by y ' = y(10 - y) and y(1) = 2. Use Euler's method with a step size of 0.1 to estimate y(1.1), y(1.2), and y(1.3).
4. Solve the differential equation y " = sin(t) with 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. Use DIFF2G with a step size of 0.01 to estimate when the ball will hit the ground and its velocity at impact.

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