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Differential Equations Solutions 2

# Differential Equations Solutions 2 -...

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12 Chapter 2. Solutions: Sensitivity Analysis: When a Little Means a Lot 0.999 0.9992 0.9994 0.9996 0.9998 1 1.0002 1.0004 1.0006 1.0008 1.001 7.65 7.7 7.75 7.8 7.85 7.9 x 10 -13 LP Example 1: perturbed solutions x 1 x 2 -3.003 -3.002 -3.001 -3 -2.999 -2.998 -2.997 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 LP Example 1: perturbed function values c T x 0 0.2 0.4 0.6 0.8 1 1.2 1.4 0 0.2 0.4 0.6 0.8 1 1.2 1.4 LP Example 2: perturbed solutions x 1 x 2 -1.002 -1.0015 -1.001 -1.0005 -1 -0.9995 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 LP Example 2: perturbed function values c T x 0.9 0.95 1 1.05 1.1 1.15 2 4 6 x 10 -15 LP Example 3: perturbed solutions
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Unformatted text preview: 1-1.15-1.1-1.05-1-0.95-0.9-1-0.8-0.6-0.4-0.2 0.2 0.4 0.6 0.8 1 LP Example 3: perturbed function values c T x Figure 2.2. Results of Challenge 2.3. The graphs on the left plot the perturbed solutions to the three problems, while those on the right plot the optimal function values. The optimal function values for the three problems are increasingly sensitive to small changes in the data. Note the vastly diFerent vertical scales in the graphs on the left....
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