Deret Taylor Persmaan Differensial
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Dik : a = 0 b= 1 N = 5 Didapat : h = (b-a) 0.2 dengan xi = a + h 0,2 i i x Turunan y y 0 0 y' 0 0 y'' 0.25 y''' 0.25 y'''' 0.25 1 0.2 y' 0.05535 0.00535 y'' 0.30535 y''' 0.30535 y'''' 0.30535 2 0.4 y' 0.122954 0.022954 y'' 0.372954 y''' 0.372954 y'''' 0.372954 3 0.6 y' 0.205527 0.055527 y'' 0.455527 y''' 0.455527 y'''' 0.455527 4 0.8 y' 0.30638 0.10638 y'' 0.55638 y''' 0.55638 y'''' 0.55638 5 1 y' 0.179563 y'' y''' y'''' Diketahui persamaan diferensial orde 1: y’ = y+0,25x; 0 ≤ x ≤ 1;
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Sheet1Diketahui persamaan diferensial orde 1: y = y+0,25x; 0 x 1; y(0) = 0 dan N = 5y' =y + 0,25 xy'' =0,25 +y +0,25 xDik :a =0b=1N =5y''' =0,25 +y +0,25 xDidapat :h = (b-a)/5 =0.2dengan xi = a + hi =0,2 iy''''=0,25 +y +0,25 xixTurunanyy00y'00y''0.25y'''0.25y''''0.2510.2y'0.055350.00535y''0.30535y'''0.30535y''''0.3053520.4y'0.122954490.02295449y''0.37295449y'''0.37295449y''''0.3729544930.6y'0.20552661410.0555266141y''0.4555266141y'''0.4555266141y''''0.455526614140.8y'0.30638020640.1063802064y''0.5563802064y'''0.5563802064y''''0.556380206451y'0.1795627842y''y'''y''''
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