metode explisit euler : metode runge-kutta :delta t: 1 delta x : 1i t nA i t nA k1 k2

0 0 0 0 0 0 10 9.9545451 1 10 1 1 9.942306 9.835251 9.6602812 2 19.833333 2 2 19.59817 9.451302 9.2111363 3 29.271389 3 3 28.8104 8.962451 8.696084 4 38.200371 4 4 37.51101 8.436582 8.1670165 5 46.578962 5 5 45.68447 7.91293 7.6531226 6 54.409362 6 6 53.34488 7.413022 7.1696867 7 61.718109 7 7 60.52205 6.947568 6.7236278 8 68.543838 8 8 67.25294 6.520802 6.316949 9 74.929794 9 9 73.57671 6.133191 5.94883

10 10 80.919455 10 10 79.53183 5.783125 5.61702211 86.55415 11 11 85.15458 5.467936 5.31854712 91.871887 12 12 90.47829 5.184517 5.05021313 96.90692 13 13 95.53313 4.929678 4.80886414 101.68972 14 14 100.3461 4.700343 4.59152215 106.2472 15 15 104.9414 4.493655 4.3954616 110.60296 16 16 109.3401 4.307018 4.21821817 114.77772 17 17 113.5613 4.138105 4.0576118 118.78957 18 18 117.6216 3.984857 3.911719 122.65437 19 19 121.5356 3.845455 3.7787920 126.386 20 20 125.3165 3.718306 3.65738921 129.99663 21 21 128.9758 3.602012 3.54619422 133.49697 22 22 132.5238 3.495352 3.44406523 136.89643 23 23 135.9694 3.397258 3.35000524 140.20335 24 24 139.3208 3.306795 3.26314225 143.42508 25 25 142.5853 3.223148 3.18271226 146.56816 26 26 145.7692 3.145598 3.10804727 149.63841 27 27 148.8783 3.073518 3.03855928 152.64102 28 28 151.9178 3.006356 2.9737329 155.58063 29 29 154.8925 2.943625 2.91310530 158.46142 30 30 157.8064 2.884896 2.85628231 161.28713 31 31 160.6635 2.829792 2.80290532 164.06114 32 32 163.4671 2.777976 2.7526633 166.78653 33 33 166.2204 2.729151 2.70526534 169.46607 34 34 168.9263 2.683053 2.66047335 172.10229 35 35 171.5873 2.639445 2.6180636 174.69749 36 36 174.2059 2.598119 2.57782937 177.25378 37 37 176.7843 2.558885 2.53960238 179.77309 38 38 179.3244 2.521575 2.50321939 182.25719 39 39 181.828 2.486038 2.46853840 184.70772 40 40 184.297 2.452138 2.43542841 187.12617 41 41 186.7328 2.419752 2.40377442 189.51396 42 42 189.137 2.388769 2.3734743 191.87235 43 43 191.5108 2.359088 2.34442144 194.20256 44 44 193.8555 2.330619 2.31654

45 196.5057 45 45 196.1724 2.303279 2.28974846 198.7828 46 46 198.4624 2.276992 2.26397447 201.03484 47 47 200.7267 2.251691 2.23915248 203.26272 48 48 202.9661 2.227311 2.21522349 205.4673 49 49 205.1816 2.203797 2.19213150 207.64937 50 50 207.374 2.181096 2.16982651 209.80969 51 51 209.5441 2.159158 2.14826252 211.94895 52 52 211.6926 2.137941 2.12739753 214.06784 53 53 213.8202 2.117403 2.10719254 216.16697 54 54 215.9276 2.097506 2.08760955 218.24694 55 55 218.0154 2.078216 2.06861756 220.30832 56 56 220.0842 2.0595 2.05018357 222.35164 57 57 222.1346 2.041328 2.03227958 224.37741 58 58 224.167 2.023674 2.01487959 226.3861 59 59 226.1821 2.006511 1.99795860 228.37818 60 60 228.1802 1.989815 1.98149261 230.35409 61 61 230.1619 1.973564 1.9654662 232.31424 62 62 232.1275 1.957737 1.94984263 234.25903 63 63 234.0775 1.942315 1.9346264 236.18884 64 64 236.0122 1.92728 1.91977565 238.10404 65 65 237.9321 1.912614 1.90529266 240.00496 66 66 239.8376 1.898301 1.89115467 241.89195 67 67 241.7289 1.884328 1.87734868 243.76532 68 68 243.6063 1.870679 1.8638669 245.62539 69 69 245.4703 1.857341 1.85067670 247.47244 70 70 247.3211 1.844302 1.83778571 249.30675 71 71 249.159 1.83155 1.82517672 251.12862 72 72 250.9843 1.819075 1.81283773 252.93828 73 73 252.7973 1.806865 1.80075974 254.736 74 74 254.5981 1.794911 1.78893275 256.52202 75 75 256.3872 1.783203 1.77734676 258.29658 76 76 258.1646 1.771733 1.76599477 260.0599 77 77 259.9307 1.760491 1.75486778 261.8122 78 78 261.6857 1.749471 1.74395679 263.55369 79 79 263.4297 1.738665 1.73325680 265.28457 80 80 265.1631 1.728065 1.72275881 267.00506 81 81 266.8859 1.717664 1.71245782 268.71532 82 82 268.5985 1.707456 1.70234583 270.41556 83 83 270.3009 1.697435 1.69241784 272.10595 84 84 271.9934 1.687595 1.68266785 273.78666 85 85 273.6761 1.67793 1.67308986 275.45787 86 86 275.3493 1.668435 1.66367987 277.11974 87 87 277.0131 1.659105 1.65443188 278.77242 88 88 278.6676 1.649934 1.64533989 280.41606 89 89 280.313 1.640918 1.63640190 282.05083 90 90 281.9495 1.632053 1.62761191 283.67687 91 91 283.5771 1.623334 1.61896592 285.29431 92 92 285.1962 1.614757 1.610458

93 286.90329 93 93 286.8067 1.606318 1.60208894 288.50396 94 94 288.4089 1.598014 1.59385195 290.09643 95 95 290.0028 1.58984 1.58574296 291.68084 96 96 291.5886 1.581793 1.57775897 293.2573 97 97 293.1664 1.573869 1.56989798 294.82594 98 98 294.7364 1.566066 1.56215499 296.38688 99 99 296.2986 1.558381 1.554527

100 297.94023 100 100 297.8532 1.55081 1.547013

k3 k49.954958 9.8348319.664269 9.4508329.218905 8.961978.706492 8.4360928.178838 7.9124387.665389 7.4125397.181745 6.9471066.735082 6.5203686.327581 6.1327915.958569 5.78276

5.62585 5.4676055.326501 5.184225.057353 4.9294124.815261 4.7001054.597252 4.4934424.400593 4.3068274.222822 4.1379354.061746 3.9847043.915423 3.8453183.782149 3.7181833.660427 3.6019013.548948 3.4952513.446569 3.3971673.352287 3.3067133.265227 3.2230723.184624 3.1455293.109804 3.0734553.040177 3.0062982.975224 2.9435712.914488 2.8848472.857566 2.8297462.804099 2.7779342.753773 2.7291122.706305 2.6830162.661446 2.6394112.618973 2.5980872.578687 2.558855

2.54041 2.5215472.503981 2.4860122.469258 2.4521142.436109 2.419729

2.40442 2.3887472.374083 2.3590672.345003 2.3305992.317094 2.30326

2.290277 2.2769742.264479 2.2516742.239634 2.2272952.215684 2.2037822.192572 2.1810812.170249 2.1591452.148669 2.1379282.127788 2.117392.107567 2.097494

2.08797 2.0782042.068964 2.0594892.050518 2.0413182.032602 2.0236642.015191 2.0065011.998259 1.9898051.981783 1.9735551.965742 1.9577281.950115 1.9423071.934884 1.9272711.920031 1.912606

1.90554 1.8982941.891395 1.884321.877582 1.8706721.864087 1.8573341.850897 1.844295

1.838 1.8315441.825384 1.819069

1.81304 1.8068591.800957 1.7949051.789124 1.7831971.777534 1.7717271.766176 1.7604861.755044 1.749466

1.74413 1.738661.733425 1.728061.722923 1.7176591.712618 1.7074521.702503 1.6974311.692571 1.6875911.682817 1.6779261.673236 1.6684311.663822 1.6591011.654571 1.649931.645477 1.6409151.636535 1.632051.627742 1.6233311.619093 1.6147541.610585 1.606315

1.602212 1.598011.593972 1.589836

1.58586 1.5817891.577874 1.5738661.570011 1.5660631.562266 1.5583781.554637 1.550807

1.54712 1.543347