Consider the initial-value problem dy/dt = 3 − y2, y(0) = 0.
(a) Using Euler’s method with Δt = 0.5, plot the graph of an approximate solution over the interval 0 ≤ t ≤ 2.
(b) Sketch the phase line for this differential equation.
(c) What does the phase line tell you about the approximate values that you computed in part (a)?
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