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euler_method - EM-Euler's Method IEM-Improved Euler's...

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Unformatted text preview: EM-Euler's Method IEM-Improved Euler's Method h= 0.06 n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 n 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 xn 0.0000 0.0625 0.1250 0.1875 0.2500 0.3125 0.3750 0.4375 0.5000 0.5625 0.6250 0.6875 0.7500 0.8125 0.8750 0.9375 1.0000 EM yn 1.000000000 1.062500000 1.128906250 1.199462891 1.274429321 1.354081154 1.438711226 1.528630678 1.624170095 1.725680726 1.833535771 1.948131757 2.069889992 2.199258116 2.336711749 2.482756233 2.637928497 |EM-EXACT| |IEM-EXACT| 0.000000 0.000000 0.001994 0.000041 0.004242 0.000088 0.006767 0.000141 0.009596 0.000199 0.012757 0.000265 0.016280 0.000339 0.020200 0.000421 0.024551 0.000512 0.029374 0.000613 0.034710 0.000725 0.040606 0.000849 0.047110 0.000986 0.054277 0.001137 0.062164 0.001304 0.070833 0.001487 0.080353 0.001688 IEM yn 1.000000000 1.064453125 1.133060455 1.206089742 1.283825995 1.366572593 1.454652467 1.548409364 1.648209187 1.754441419 1.867520651 1.987888193 2.116013800 2.252397501 2.397571559 2.552102539 2.716593522 2.80 2.60 Exact (y=ex) 1.000000000 1.064494459 1.133148453 1.206230249 1.284025417 1.366837941 1.454991415 1.548830299 1.648721271 1.755054657 1.868245957 1.988737470 2.117000017 2.253534787 2.398875294 2.553589458 2.718281828 2.40 2.20 2.00 Column C Column D Column E 1.80 1.60 1.40 1.20 1.00 0.0625 0.1875 0.3125 0.4375 0.5625 0.6875 0.8125 0.9375 0.0000 0.1250 0.2500 0.3750 0.5000 0.6250 0.7500 0.8750 1.0000 0.080 0.070 0.060 0.050 0.040 Column B Column C 0.030 0.020 0.010 0.000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ...
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