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genkuroki/DifferentialEquations.jl minimal example.ipynb

Created September 10, 2019 15:36
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DifferentialEquations.jl minimal example
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DifferentialEquations.jl minimal example.ipynb
{
"cells": [
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "using DifferentialEquations\nusing Plots; gr(titlefontsize=10)\n\nf(y, p, t) = 0.3134y*(1-y/1.97e8)\ny₀ = 3.9e6\ntspan = (0.0, 10.0)\nprob = ODEProblem(f, y₀, tspan)\n@time sol = solve(prob)\nplot(sol; legend=:topleft)",
"execution_count": 3,
"outputs": [
{
"output_type": "stream",
"text": " 0.499416 seconds (1.10 M allocations: 56.981 MiB, 6.41% gc time)\n",
"name": "stdout"
},
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
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\n 1008.56,1215.84 1010.67,1215.08 1012.77,1214.32 1014.87,1213.55 1016.98,1212.79 1019.08,1212.02 1021.19,1211.24 1023.29,1210.47 1025.39,1209.69 1027.5,1208.92 \n 1029.6,1208.14 1031.7,1207.35 1033.81,1206.57 1035.91,1205.78 1038.01,1204.99 1040.12,1204.2 1042.22,1203.41 1044.32,1202.61 1046.43,1201.82 1048.53,1201.02 \n 1050.64,1200.21 1052.74,1199.41 1054.84,1198.6 1056.95,1197.79 1059.05,1196.98 1061.15,1196.17 1063.26,1195.35 1065.36,1194.54 1067.46,1193.72 1069.57,1192.89 \n 1071.67,1192.07 1073.77,1191.24 1075.88,1190.41 1077.98,1189.58 1080.09,1188.75 1082.19,1187.91 1084.29,1187.08 1086.4,1186.24 1088.5,1185.39 1090.6,1184.55 \n 1092.71,1183.7 1094.81,1182.85 1096.91,1182 1099.02,1181.15 1101.12,1180.29 1103.23,1179.43 1105.33,1178.57 1107.43,1177.71 1109.54,1176.84 1111.64,1175.97 \n 1113.74,1175.1 1115.85,1174.23 1117.95,1173.35 1120.05,1172.48 1122.16,1171.6 1124.26,1170.71 1126.36,1169.83 1128.47,1168.94 1130.57,1168.05 1132.68,1167.16 \n 1134.78,1166.27 1136.88,1165.37 1138.99,1164.47 1141.09,1163.57 1143.19,1162.66 1145.3,1161.76 1147.4,1160.85 1149.5,1159.94 1151.61,1159.02 1153.71,1158.11 \n 1155.81,1157.19 1157.92,1156.27 1160.02,1155.34 1162.13,1154.42 1164.23,1153.49 1166.33,1152.56 1168.44,1151.62 1170.54,1150.69 1172.64,1149.75 1174.75,1148.81 \n 1176.85,1147.87 1178.95,1146.92 1181.06,1145.97 1183.16,1145.02 1185.27,1144.07 1187.37,1143.11 1189.47,1142.15 1191.58,1141.19 1193.68,1140.22 1195.78,1139.26 \n 1197.89,1138.29 1199.99,1137.32 1202.09,1136.34 1204.2,1135.37 1206.3,1134.39 1208.4,1133.4 1210.51,1132.42 1212.61,1131.43 1214.72,1130.44 1216.82,1129.45 \n 1218.92,1128.45 1221.03,1127.46 1223.13,1126.46 1225.23,1125.45 1227.34,1124.45 1229.44,1123.44 1231.54,1122.43 1233.65,1121.41 1235.75,1120.4 1237.85,1119.38 \n 1239.96,1118.36 1242.06,1117.33 1244.17,1116.31 1246.27,1115.28 1248.37,1114.24 1250.48,1113.21 1252.58,1112.17 1254.68,1111.13 1256.79,1110.09 1258.89,1109.04 \n 1260.99,1107.99 1263.1,1106.94 1265.2,1105.89 1267.3,1104.83 1269.41,1103.77 1271.51,1102.71 1273.62,1101.64 1275.72,1100.57 1277.82,1099.5 1279.93,1098.43 \n 1282.03,1097.35 1284.13,1096.27 1286.24,1095.19 1288.34,1094.1 1290.44,1093.02 1292.55,1091.92 1294.65,1090.83 1296.76,1089.74 1298.86,1088.64 1300.96,1087.53 \n 1303.07,1086.43 1305.17,1085.32 1307.27,1084.21 1309.38,1083.1 1311.48,1081.98 1313.58,1080.86 1315.69,1079.74 1317.79,1078.61 1319.89,1077.49 1322,1076.36 \n 1324.1,1075.22 1326.21,1074.09 1328.31,1072.95 1330.41,1071.8 1332.52,1070.66 1334.62,1069.51 1336.72,1068.36 1338.83,1067.2 1340.93,1066.05 1343.03,1064.89 \n 1345.14,1063.72 1347.24,1062.56 1349.34,1061.39 1351.45,1060.22 1353.55,1059.04 1355.66,1057.86 1357.76,1056.68 1359.86,1055.5 1361.97,1054.31 1364.07,1053.12 \n 1366.17,1051.93 1368.28,1050.73 1370.38,1049.53 1372.48,1048.33 1374.59,1047.12 1376.69,1045.92 1378.8,1044.71 1380.9,1043.49 1383,1042.27 1385.11,1041.05 \n 1387.21,1039.83 1389.31,1038.6 1391.42,1037.37 1393.52,1036.14 1395.62,1034.9 1397.73,1033.66 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1530.25,949.104 1532.36,947.655 \n 1534.46,946.203 1536.56,944.747 1538.67,943.287 1540.77,941.824 1542.87,940.357 1544.98,938.887 1547.08,937.414 1549.19,935.937 1551.29,934.456 1553.39,932.972 \n 1555.5,931.485 1557.6,929.994 1559.7,928.5 1561.81,927.002 1563.91,925.5 1566.01,923.995 1568.12,922.486 1570.22,920.974 1572.33,919.459 1574.43,917.939 \n 1576.53,916.417 1578.64,914.89 1580.74,913.36 1582.84,911.827 1584.95,910.29 1587.05,908.749 1589.15,907.205 1591.26,905.657 1593.36,904.105 1595.46,902.55 \n 1597.57,900.992 1599.67,899.429 1601.78,897.864 1603.88,896.294 1605.98,894.721 1608.09,893.144 1610.19,891.564 1612.29,889.98 1614.4,888.392 1616.5,886.8 \n 1618.6,885.205 1620.71,883.607 1622.81,882.004 1624.91,880.398 1627.02,878.788 1629.12,877.175 1631.23,875.558 1633.33,873.937 1635.43,872.312 1637.54,870.684 \n 1639.64,869.052 1641.74,867.417 1643.85,865.777 1645.95,864.134 1648.05,862.487 1650.16,860.837 1652.26,859.182 1654.37,857.524 1656.47,855.862 1658.57,854.197 \n 1660.68,852.528 1662.78,850.855 1664.88,849.178 1666.99,847.497 1669.09,845.813 1671.19,844.125 1673.3,842.433 1675.4,840.737 1677.5,839.037 1679.61,837.334 \n 1681.71,835.627 1683.82,833.916 1685.92,832.201 1688.02,830.483 1690.13,828.76 1692.23,827.034 1694.33,825.304 1696.44,823.57 1698.54,821.833 1700.64,820.091 \n 1702.75,818.346 1704.85,816.597 1706.95,814.844 1709.06,813.087 1711.16,811.326 1713.27,809.561 1715.37,807.793 1717.47,806.021 1719.58,804.244 1721.68,802.464 \n 1723.78,800.68 1725.89,798.892 1727.99,797.101 1730.09,795.305 1732.2,793.505 1734.3,791.702 1736.4,789.895 1738.51,788.083 1740.61,786.268 1742.72,784.449 \n 1744.82,782.626 1746.92,780.799 1749.03,778.969 1751.13,777.134 1753.23,775.295 1755.34,773.453 1757.44,771.606 1759.54,769.756 1761.65,767.901 1763.75,766.043 \n 1765.86,764.18 1767.96,762.314 1770.06,760.444 1772.17,758.57 1774.27,756.692 1776.37,754.809 1778.48,752.923 1780.58,751.033 1782.68,749.139 1784.79,747.241 \n 1786.89,745.339 1788.99,743.433 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