12 6 2013

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yn+1 = yn + h*fungsi n x y fungsi = 1 - (x*y) 0 0 0 x0 = 0 y0 = 0 1 0.1 0.1 h = 0.1 2 0.2 0.199 3 0.3 0.29502 4 0.4 0.386169 5 0.5 0.470723 6 0.6 0.547186 7 0.7 0.614355 8 0.8 0.67135 9 0.9 0.717642 10 1 0.753055 11 1.1 0.777749 12 1.2 0.792197 13 1.3 0.797133 14 1.4 0.793506 15 1.5 0.782415 16 1.6 0.765053 17 1.7 0.742644 18 1.8 0.716395 19 1.9 0.687444 20 2 0.656829 21 2.1 0.625464 22 2.2 0.594116 23 2.3 0.563411 24 2.4 0.533826 25 2.5 0.505708 26 2.6 0.479281 27 2.7 0.454668 28 2.8 0.431908 29 2.9 0.410973 30 3 0.391791 31 3.1 0.374254 32 3.2 0.358235 33 3.3 0.3436 34 3.4 0.330212 35 3.5 0.31794 36 3.6 0.306661 37 3.7 0.296263 38 3.8 0.286646 39 3.9 0.27772 40 4 0.269409 0 2 0 0.2 0.4 0.6 0.8 1 Y

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Metode Euleryn+1 =yn + h*fungsinxyfungsi =1 - (x*y)xy000x0 = 0 y0 = 00010.10.1h =0.110.120.20.19920.1930.30.2950230.25240.40.386169440.276450.50.47072262450.2658460.60.547186492860.2329270.70.614355303270.19316880.80.67135043280.157950490.90.717642397490.131590081010.7530545817100.113159008111.10.7777491235121.20.7921967199131.30.7971331135141.40.7935058088151.50.7824149955161.60.7650527462171.70.7426443068181.80.7163947747191.90.68744371522020.6568294093212.10.6254635275222.20.5941161867232.30.5634106256242.40.5338261817252.50.5057078981262.60.4792809236272.70.4546678835282.80.4319075549292.90.41097343953030.3917911421313.10.3742537995323.20.3582351216333.30.3435998827343.40.3302119214353.50.3179398681363.60.3066609143373.70.2962629851383.80.2866456806393.90.2777203224040.2694093964414.10.2616456379424.20.2543709263434.30.2475351373444.40.2410950282454.50.2350132158464.60.2292572687474.70.2237989251484.80.2186134303494.90.21367898385050.2089762817515.10.2044881409525.20.200199189535.30.1960956107545.40.192164937555.50.188395871565.60.184778142575.70.1813023825585.80.1779600245595.90.17474321036060.1716447162616.10.1686578865626.20.1657765757636.30.1629950988646.40.1603081865656.50.1577109472666.60.1551988315676.70.1527676027686.80.1504133089696.90.14813225887070.1459210002717.10.1437763001727.20.141695127737.30.1396746356747.40.1377121516757.50.1358051594767.60.1339512899777.70.1321483096787.80.1303941112797.90.12868670458080.1270242079818.10.1254048416828.20.1238269199838.30.1222888456848.40.1207891037858.50.1193262566868.60.1178989385878.70.1165058514888.80.1151457607898.90.11381749139090.112519924919.10.1112519924929.20.1100126793939.30.1088010143949.40.107616071959.50.1064569643969.60.1053228482979.70.1042129139989.80.1031263874999.90.1020625277100100.1010206253

Metode Runge kuttah =0.1k1 =h . F(1-xn.yn)k2 =h . F(xn + h , yn + k1)nxyk1k2yn+1 =yn + 0,5 (k1 + k2)000--10.10.09950.10.09920.20.197017450.0990050.096029930.30.2906511190.0960596510.09120768740.40.37865272050.09128046640.084722736650.50.45949200080.08485389120.076824669460.60.53190917870.07702540.06780895670.70.59495209140.06808544930.05800037680.80.64799655040.05835335360.047735564490.90.69074963120.0481602760.03734588561010.72323678960.03783253320.0271417836111.10.7457747290.0276763210.0173995578121.20.75893274840.01796477980.0083512589131.30.76348583030.00892807020.0001780936141.40.76036296420.0007468421-0.0069925741151.50.7505941456-0.006450815-0.0130868224161.60.7352591827-0.0125891218-0.0180808038171.70.7154409425-0.0176414692-0.0219950113181.80.692185024-0.0216249602-0.0248868768191.90.6664671584-0.0245933043-0.02684242672020.6391689386-0.0266287601-0.0279676797212.10.6110618539-0.0278337877-0.0283803817222.20.5827990841-0.0283229893-0.0282025502232.30.554914107-0.0282157985-0.0275541557242.40.5278249212-0.0276302446-0.026548127252.50.5018425632-0.0266779811-0.025286735262.60.4771825929-0.0254606408-0.0238592998272.70.4539783148-0.0240674741-0.0223410821282.80.4322946585-0.022574145-0.0207931675292.90.412141844-0.0210425044-0.01926312473030.3934881702-0.0195211347-0.0177862128313.10.3762714782-0.0180464511-0.0163869329323.20.3604090279-0.0166441582-0.0150807424333.30.3458056905-0.0153308889-0.0138757859343.40.3323604834-0.0141158779-0.0127745363353.50.3199715654-0.0130025644-0.0117752717363.60.3085398683-0.0119900479-0.0108733463373.70.2979715716-0.0110743526-0.0100622408383.80.2881796337-0.0102494815-0.0093343942393.90.2790845856-0.0095082608-0.00868183544040.270614772-0.0088429884-0.0080966389414.10.2627062006-0.0082459088-0.0075712339424.20.2553021312-0.0077095423-0.0070985965434.30.2483525079-0.0072268951-0.0066723515444.40.2418133142-0.0067915784-0.006286809454.50.2356459075-0.0063978583-0.0059369552464.60.229816371-0.0060406584-0.0056184146474.70.2242949082-0.0057155307-0.005327395484.80.2190552924-0.0054186069-0.0050606246494.90.214074378-0.0051465404-0.00481528855050.2093316722-0.0048964452-0.0045889664515.10.2048089659-0.0046658361-0.0043795764525.20.2004900174-0.0044525726-0.0041853245535.30.1963602826-0.004254809-0.0040046604545.40.1924066879-0.0040709498-0.0038362397555.50.1886174361-0.0038996115-0.003678892565.60.1849818442-0.0037395899-0.0035315939575.70.1814902046-0.0035898328-0.0033934465585.80.1781336678-0.0034494166-0.003263657595.90.1749041427-0.0033175273-0.00314152296060.171794211-0.0031934442-0.0030264191616.10.168797054-0.0030765266-0.0029177875626.20.1659063887-0.0029662029-0.0028151277636.30.1631164135-0.002861961-0.0027179895646.40.1604217599-0.0027633405-0.0026259667656.50.1578174508-0.0026699263-0.0025386918666.60.1552988637-0.002581343-0.0024558311676.70.1528616981-0.0024972501-0.0023770812686.80.1505019467-0.0024173377-0.0023021651696.90.1482158699-0.0023413238-0.00223082987070.1459999729-0.0022689502-0.0021628438717.10.1438509853-0.002199981-0.0020979942727.20.1417658426-0.0021341995-0.0020360857737.30.1397416702-0.0020714067-0.0019769382747.40.1377757677-0.0020114192-0.0019203857757.50.1358655963-0.0019540681-0.0018662747767.60.134008766-0.0018991972-0.0018144633777.70.132203025-0.0018466622-0.00176482787.80.130446249-0.0017963292-0.0017172227797.90.1287364329-0.0017480742-0.00167155818080.1270716815-0.001701782-0.0016277207818.10.1254502027-0.0016573452-0.0015856124828.20.1238702998-0.0016146642-0.0015451416838.30.1223303655-0.0015736459-0.0015062228848.40.1208288757-0.0015342034-0.0014687762858.50.1193643844-0.0014962556-0.0014327271868.60.1179355182-0.0014597267-0.0013980056878.70.1165409723-0.0014245457-0.0013645461888.80.1151795057-0.0013906459-0.0013322872898.90.1138499376-0.0013579651-0.00130117129090.1125511435-0.0013264445-0.0012711438919.10.1112820519-0.0012960291-0.0012421541929.20.1100416413-0.0012666672-0.0012141539939.30.1088289373-0.00123831-0.0011870981949.40.1076430094-0.0012109117-0.0011609441959.50.1064829692-0.0011844288-0.0011356515969.60.1053479676-0.0011588208-0.0011111825979.70.1042371926-0.0011340489-0.0010875011989.80.1031498674-0.0011100768-0.0010645735999.90.1020852487-0.0010868701-0.0010423674100100.1010426244-0.0010643962-0.0010208525

Metode Simpson =0.1nxYKoefisien00y0110.1y1420.2y2230.3y3440.4y4250.5y5460.6y6270.7y7480.8y8290.9y94101y102111.1y114121.2y122131.3y134141.4y142151.5y154161.6y162171.7y174181.8y182191.9y194202y202212.1y214222.2y222232.3y234242.4y242252.5y254262.6y262272.7y274282.8y282292.9y294303y302313.1y314323.2y322333.3y334343.4y342353.5y354363.6y362373.7y374383.8y382393.9y394404y402414.1y414424.2y422434.3y434444.4y442454.5y454464.6y462474.7y474484.8y482494.9y494505y502515.1y514525.2y522535.3y534545.4y542555.5y554565.6y562575.7y574585.8y582595.9y594606y602616.1y614626.2y622636.3y634646.4y642656.5y654666.6y662676.7y674686.8y682696.9y694707y702717.1y714727.2y722737.3y734747.4y742757.5y754767.6y762777.7y774787.8y782797.9y794808y802818.1y814828.2y822838.3y834848.4y842858.5y854868.6y862878.7y874888.8y882898.9y894909y902919.1y914929.2y922939.3y934949.4y942959.5y954969.6y962979.7y974989.8y982999.9y99410010y1001

Sheet3MetodeEulerRunge KuttaSimpsonnxyxyxy00000010.10.10.10.09950.120.20.1990.20.197017450.230.30.295020.30.2906511190.340.40.38616940.40.37865272050.450.50.4707226240.50.45949200080.560.60.54718649280.60.53190917870.670.70.61435530320.70.59495209140.780.80.6713504320.80.64799655040.890.90.71764239740.90.69074963120.91010.753054581710.72323678961111.10.77774912351.10.7457747291.1121.20.79219671991.20.75893274841.2131.30.79713311351.30.76348583031.3141.40.79350580881.40.76036296421.4151.50.78241499551.50.75059414561.5161.60.76505274621.60.73525918271.6171.70.74264430681.70.71544094251.7181.80.71639477471.80.6921850241.8191.90.68744371521.90.66646715841.92020.656829409320.63916893862212.10.62546352752.10.61106185392.1222.20.59411618672.20.58279908412.2232.30.56341062562.30.5549141072.3242.40.53382618172.40.52782492122.4252.50.50570789812.50.50184256322.5262.60.47928092362.60.47718259292.6272.70.45466788352.70.45397831482.7282.80.43190755492.80.43229465852.8292.90.41097343952.90.4121418442.93030.391791142130.39348817023313.10.37425379953.10.37627147823.1323.20.35823512163.20.36040902793.2333.30.34359988273.30.34580569053.3343.40.33021192143.40.33236048343.4353.50.31793986813.50.31997156543.5363.60.30666091433.60.30853986833.6373.70.29626298513.70.29797157163.7383.80.28664568063.80.28817963373.8393.90.2777203223.90.27908458563.94040.269409396440.2706147724414.10.26164563794.10.26270620064.1424.20.25437092634.20.25530213124.2434.30.24753513734.30.24835250794.3444.40.24109502824.40.24181331424.4454.50.23501321584.50.23564590754.5464.60.22925726874.60.2298163714.6474.70.22379892514.70.22429490824.7484.80.21861343034.80.21905529244.8494.90.21367898384.90.2140743784.95050.208976281750.20933167225515.10.20448814095.10.20480896595.1525.20.2001991895.20.20049001745.2535.30.19609561075.30.19636028265.3545.40.1921649375.40.19240668795.4555.50.1883958715.50.18861743615.5565.60.1847781425.60.18498184425.6575.70.18130238255.70.18149020465.7585.80.17796002455.80.17813366785.8595.90.17474321035.90.17490414275.96060.171644716260.1717942116616.10.16865788656.10.1687970546.1626.20.16577657576.20.16590638876.2636.30.16299509886.30.16311641356.3646.40.16030818656.40.16042175996.4656.50.15771094726.50.15781745086.5666.60.15519883156.60.15529886376.6676.70.15276760276.70.15286169816.7686.80.15041330896.80.15050194676.8696.90.14813225886.90.14821586996.97070.145921000270.14599997297717.10.14377630017.10.14385098537.1727.20.1416951277.20.14176584267.2737.30.13967463567.30.13974167027.3747.40.13771215167.40.13777576777.4757.50.13580515947.50.13586559637.5767.60.13395128997.60.1340087667.6777.70.13214830967.70.1322030257.7787.80.13039411127.80.1304462497.8797.90.12868670457.90.12873643297.98080.127024207980.12707168158818.10.12540484168.10.12545020278.1828.20.12382691998.20.12387029988.2838.30.12228884568.30.12233036558.3848.40.12078910378.40.12082887578.4858.50.11932625668.50.11936438448.5868.60.11789893858.60.11793551828.6878.70.11650585148.70.11654097238.7888.80.11514576078.80.11517950578.8898.90.11381749138.90.11384993768.99090.11251992490.11255114359919.10.11125199249.10.11128205199.1929.20.11001267939.20.11004164139.2939.30.10880101439.30.10882893739.3949.40.1076160719.40.10764300949.4959.50.10645696439.50.10648296929.5969.60.10532284829.60.10534796769.6979.70.10421291399.70.10423719269.7989.80.10312638749.80.10314986749.8999.90.10206252779.90.10208524879.9100100.1010206253100.101042624410