1. Consider the initial value problem, 2y 3y2 1

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1. Consider the initial value problem,
2y 3y2
1<t<2,
(la)
y(1) = 1.
(1b)
The exact solution to (1) is y(t) = +3In(?) *
Approximate the solution to (1) using Euler's method with h = .02 and
h = 0.01. Verify that the global error is O(h) by comparing the two errors.
Transcribed Image Text:1. Consider the initial value problem, 2y 3y2 1<t<2, (la) y(1) = 1. (1b) The exact solution to (1) is y(t) = +3In(?) * Approximate the solution to (1) using Euler's method with h = .02 and h = 0.01. Verify that the global error is O(h) by comparing the two errors.
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