Draw the error bounds shown in Figure 2. See Exercise 14 for assistance. Reference:...

Draw the error bounds shown in Figure 2. See Exercise 14 for assistance.

Reference:

Let's plot the error bounds shown in Figure 1. First, solve cost, x(0) = 0, and plot the solution over the interval [ -4, 4]. Next, as we saw in Example 8.1, if y(t) is a second solution with |x (0) - y(0)| < 0.1, then the inequality (8.3) becomes Solve this inequality for x(t), placing your final answer in the form Then add the graphs of to your plot. How can you use Theo-rem 7.16 to show that no solution starting with initial condition |x (0) - y(0)| ≤ 0.1 has any chance of rising as far as indicated by ?

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