ODE Sine wave example

ODE Sine wave example - 0.5 1 1.5 2 2.5-60-40-20 20 40 60...

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Unformatted text preview: 0.5 1 1.5 2 2.5-60-40-20 20 40 60 80 Results of ODE Solvers sin(x) x1E x2E x1I Time Trajectories Sine increment 0.01 h Denominator 1.02 Period 2 ====EXPLICIT E====IMPLICIT EULER=== x sin(x) x1E x1I x2I 12.57 0.01 0.13 0.13 0.12 12.57 0.02 0.25 0.25 0.25 12.37 0.03 0.37 0.38 0.36 11.98 0.04 0.48 0.49 0.48 11.41 0.05 0.59 0.61 0.58 10.66 0.06 0.68 0.71 0.68 9.74 0.07 0.77 0.81 0.76 8.67 0.08 0.84 0.9 0.84 7.47 0.09 0.9 0.97 0.9 6.15 0.1 0.95 1.03 0.94 4.73 0.11 0.98 1.07 0.97 3.25 0.12 1 1.1 0.99 1.71 0.13 1 1.11 0.99 0.14 0.14 0.98 1.1 0.98-1.43 0.15 0.95 1.07 0.95-2.97 0.16 0.9 1.03 0.91-4.47 0.17 0.84 0.97 0.85-5.9 0.18 0.77 0.9 0.78-7.24 0.19 0.68 0.8 0.69-8.47 0.2 0.59 0.7 0.6-9.56 0.21 0.48 0.58 0.5-10.5 0.22 0.37 0.45 0.38-11.29 0.23 0.25 0.32 0.27-11.89 0.24 0.13 0.17 0.15-12.32 0.25 0.02 0.02-12.55 0.26-0.13-0.13-0.1-12.58 0.27-0.25-0.29-0.22-12.42 0.28-0.37-0.44-0.34-12.07 0.29-0.48-0.58-0.46-11.53 0.3-0.59-0.72-0.56-10.81 0.31-0.68-0.85-0.66-9.92 0.32-0.77-0.97-0.75-8.88 0.33-0.84-1.08-0.82-7.7 0.34-0.9-1.17-0.89-6.4 0.35-0.95-1.24-0.94-5 0.36-0.98-1.3-0.97-3.52 0.37-1-1.33-0.99-1.99 0.38-1-1.35-0.99-0.42 0.39-0.98-1.34-0.98 1.14 0.4-0.95-1.31-0.96 2.7 0.41-0.9-1.26-0.91 4.21 0.420....
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This note was uploaded on 04/05/2010 for the course FINANCE AN FRE6251 taught by Professor Weinberger,edward during the Fall '09 term at NYU Poly.

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ODE Sine wave example - 0.5 1 1.5 2 2.5-60-40-20 20 40 60...

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