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Get Full Access to Numerical Analysis - 10 Edition - Chapter 5.8 - Problem 1
Get Full Access to Numerical Analysis - 10 Edition - Chapter 5.8 - Problem 1

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# Use the Extrapolation Algorithm with tolerance TOL I0-4 , hmax 0.25, and hmin 0.05 to

ISBN: 9781305253667 457

## Solution for problem 1 Chapter 5.8

Numerical Analysis | 10th Edition

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Problem 1

Use the Extrapolation Algorithm with tolerance TOL I0-4 , hmax 0.25, and hmin 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. a. y' - re3 ' - 2y, 0 < r < I, >-(0) -- 0; actual solution y{t) ^le3 " - ^e3 ' + ^e-2'. b. /= l + (r y)2 , 2 < t <3, y(2) = I; actual solution y(t) = r + 1/(1 -r). c. y' = l+y/t, \'(r) = f sin2r - f cos3r + |.

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L32 - 9 Comparison Properties of Integrals 1. If f(x) ≥ 0fr a ≤ x ≤ b,t en 2. If f(x) ≥ g(x)for a ≤ x ≤ b,t hn 3. If m ≤ f(x) ≤ M for a ≤ x ≤ b,t hn We can see this f if is continuous on [a,b]: y = f(x) y = f(x) a b a b

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