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Lets begin with some ideas from calculus what is the

1. Let's begin with some ideas from calculus.

a. What is the integral (antiderivative) of the function y(t) = t2 + t?

b. Solve the equation y4 - 4y2 = 0.

c. For which values of t is the function y(t) = t3 - t positive?

d. Sketch the graph of y(t) = t2 - 1.

e. Sketch the graph of y(t) = t(2 - t).

2. Sketch the phase line for y' = 1.

3. Sketch the phase line for y' = -y.

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