# melany 1 ODE_SYS.xls - Numerical Solution of System dx/dt...

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4fa0f6ef2ac70d07f03bebbe94a52a6a7ef087e9.xls Page 1 Numerical Solution of System dx/dt = f(t,x,y), dy/dt = g(t,x,y) Name melany fernandez f(t,x,y) 0.25*x*(1-(x/200)-(y/50)) g(t,x,y) 0.10*y*(1-(y/100)-(x/100)) Initial Conditions Initial time 0 Final time 900 Initial x value 150 Initial y value 10 Approximation Data # of subintervals 100 t = 0.00 Type Comments Here: 0 100 200 300 400 500 600 700 800 900 0 20 40 60 80 100 120 140 160 Solution Curves x(approx) y (approx) t x, y 140 160 180 200 220 240 260 280 300 0 2 4 6 8 10 12 Phase Plane x y 0 50 100 150 200 250 300 350 400 450 0 2 4 6 8 10 12 Phase Portrait x y Scroll Me
Calculation Page 2 Calculation Sheet 0 150 10 0 0 4.5 150 10 0 9 150 10 0 0 13.5 150 10 0 18 150 10 0 0 22.5 150 10 0 27 150 10 0 0 31.5 150 10 0 36 150 10 0 0 40.5 150 10 0 45 150 10 0 0 49.5 150 10 0 54 150 10 0 0 58.5 150 10 0 63 150 10 0 0 67.5 150 10 0 72 150 10 0 0 76.5 150 10 0 81 150 10 0 0 85.5 150 10 0 90 150 10 0 0 94.5 150 10 0 99 150 10 0 0 103.5 150 10 0 108 150 10 0 0 112.5 150 10 0 117 150 10 0 0 121.5 150 10 0 126 150 10 0 0 130.5 150 10 0 135 150 10 0 0 139.5 150 10 0 144 150 10 0 0 148.5 150 10 0 153 150 10 0 0 157.5 150 10 0 162 150 10 0 0 166.5 150 10 0 171 150 10 0 0 175.5 150 10 0 180 150 10 0 0 184.5 150 10 0 189 150 10 0 0 193.5 150 10 0 198 150 10 0 0 202.5 150 10 0 207 150 10 0 0 211.5 150 10 0 216 150 10 0 0 220.5 150 10 0 225 150 10 0 0 229.5 150 10 0 234 150 10 0 0 238.5 150 10 0 243 150 10 0 0 247.5 150 10 0 252 150 10 0 0 256.5 150 10 0 261 150 10 0 0 265.5 150 10 0 270 150 10 0 0 274.5 150 10 0 279 150 10 0 0 283.5 150 10 0 288 150 10 0 0 292.5 150 10 0 297 150 10 0 0 301.5 150 10 0 306 150 10 0 0 310.5 150 10 0 315 150 10 0 0 319.5 150 10 0 t n x n y n x' n y' n t n+1/2 x n+1/2 y n+1/2