Pre-Calc Homework Solutions 276

Pre-Calc Homework Solutions 276 - 276 Section 6.6 0 and 13....

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13. To find the approximate values, set y 1 5 x 2 y and use EULERT and IMPEULT with initial values x 5 0 and y 5 1 and step size 0.1 for 20 points. The exact values are given by y 5 x 2 1 1 2 e 2 x . 276 Section 6.6 x y (Euler) y 12 improved Euler y (exact) 0 1 1 1 0.1 0.9000 0.9100 0.9097 0.2 0.8200 0.8381 0.8375 0.3 0.7580 0.7824 0.7816 0.4 0.7122 0.7416 0.7406 0.5 0.6810 0.7142 0.7131 0.6 0.6629 0.6988 0.6976 0.7 0.6566 0.6944 0.6932 0.8 0.6609 0.7000 0.6987 0.9 0.6748 0.7145 0.7131 1.0 0.6974 0.7371 0.7358 1.1 0.7276 0.7671 0.7657 1.2 0.7649 0.8037 0.8024 1.3 0.8084 0.8463 0.8451 1.4 0.8575 0.8944 0.8932 1.5 0.9118 0.9475 0.9463
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