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ODE Sine wave example - Results of ODE Solvers 80 60 40...

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0 0.5 1 1.5 2 2.5 -60 -40 -20 0 20 40 60 80 Results of ODE Solvers sin(x) x1E x2E x1I Time Trajectories
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Sine increment 0.01 h Denominator 1.02 Period 2 ====EXPLICIT E ====IMPLICIT EULER=== x sin(x) x1E x1I x2I 0 0 0 0 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 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 0.42 -0.84 -1.19 -0.86 5.65 0.43 -0.77 -1.1 -0.79 7.01 0.44 -0.68 -1 -0.71 8.25 0.45 -0.59 -0.87 -0.62 9.37 0.46 -0.48 -0.73 -0.51 10.35 0.47 -0.37 -0.57 -0.4 11.16
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0.48 -0.25 -0.41 -0.29 11.8 0.49 -0.13 -0.23 -0.17 12.25 0.5 0 -0.05 -0.04 12.52 0.51 0.13 0.14 0.08 12.59 0.52 0.25 0.32 0.2 12.46 0.53 0.37 0.51 0.32 12.14 0.54 0.48 0.69 0.44 11.64 0.55 0.59 0.86 0.54 10.95 0.56 0.68 1.02 0.64 10.09 0.57 0.77 1.17 0.73 9.07 0.58 0.84 1.3 0.81 7.92 0.59 0.9 1.41 0.88 6.64 0.6 0.95 1.5 0.93 5.25 0.61 0.98 1.57 0.96 3.79 0.62 1 1.62 0.99 2.27 0.63 1 1.64 0.99 0.71 0.64 0.98 1.63 0.99 -0.86 0.65 0.95 1.6 0.96 -2.42 0.66 0.9 1.55 0.92 -3.94 0.67 0.84 1.47 0.87 -5.4 0.68 0.77 1.36 0.8 -6.77 0.69 0.68 1.23 0.72 -8.04 0.7 0.59 1.08 0.63 -9.18 0.71 0.48 0.91 0.53 -10.18 0.72 0.37 0.72 0.43 -11.02 0.73 0.25 0.52 0.31 -11.7 0.74 0.13 0.31 0.19 -12.18 0.75 0 0.09 0.07 -12.48 0.76 -0.13 -0.14 -0.06 -12.59 0.77 -0.25 -0.36 -0.18 -12.5 0.78 -0.37 -0.59 -0.3 -12.22 0.79 -0.48 -0.81 -0.42 -11.74 0.8 -0.59 -1.02 -0.52 -11.09 0.81 -0.68 -1.22 -0.63 -10.26 0.82 -0.77 -1.4 -0.72 -9.27 0.83 -0.84 -1.56 -0.8 -8.14 0.84 -0.9
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