Pre-Calc Homework Solutions 275

Pre-Calc Homework Solutions 275 - 2 1.0 2 3.4565 2 3.4817...

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12. To find the approximate values, set y 1 5 x (1 2 y ) and use IMPEULT with initial values x 52 2 and y 5 0 and step size 0.1 for 20 points. The exact values are given by y 52 e 2 ( x 2 /2) 1 2 1 1. Section 6.6 275 x y 12 improved Euler y (exact) Error 2 2 0 0 0 2 1.9 2 0.2140 2 0.2153 0.0013 2 1.8 2 0.4593 2 0.4623 0.0029 2 1.7 2 0.7371 2 0.7419 0.0049 2 1.6 2 1.0473 2 1.0544 0.0071 2 1.5 2 1.3892 2 1.3989 0.0097 2 1.4 2 1.7607 2 1.7732 0.0125 2 1.3 2 2.1585 2 2.1740 0.0155 2 1.2 2 2.5780 2 2.5966 0.0186 2 1.1 2 3.0131 2 3.0350 0.0219
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Unformatted text preview: 2 1.0 2 3.4565 2 3.4817 0.0252 2 0.9 2 3.9000 2 3.9283 0.0284 2 0.8 2 4.3341 2 4.3656 0.0315 2 0.7 2 4.7491 2 4.7834 0.0344 2 0.6 2 5.1348 2 5.1719 0.0370 2 0.5 2 5.4815 2 5.5208 0.0394 2 0.4 2 5.7796 2 5.8210 0.0413 2 0.3 2 6.0210 2 6.0639 0.0430 2 0.2 2 6.1986 2 6.2427 0.0441 2 0.1 2 6.3073 2 6.3522 0.0449 2 6.3438 2 6.3891 0.0452...
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