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  1. #include <iostream>
  2. #include <iomanip>
  3. #include <cmath>
  4.  
  5. using namespace std;
  6.  
  7. double f1(double x1, double x2, double t) // первая функция 
  8. {
  9.     return -52 * x1 - 100 * x2 + exp(-t);               
  10. }
  11.  
  12. double f2(double x1, double t) // вторая функция
  13. {
  14.     return x1 + sin(t);               
  15. } 
  16.  
  17. int main()
  18. {
  19.     //setlocale(LC_ALL,"rus");
  20.  
  21.     double h = 0.01;      // шаг
  22.  
  23.     double x1 = 1.0;
  24.     double x2 = 0.0;
  25.     double t  = 0.0;
  26.     cout << setw(10) << t << setw(12) << x1 << setw(12) << x2 << endl;
  27.  
  28.     while (t <= 2.0)
  29.     {
  30.  
  31.         double k1 =  h*f1(x1,x2,t);
  32.         double m1 =  h*f2(x1,t);
  33.  
  34.         double k2 =  h*f1(x1+k1/2,x2+m1/2,t+h/2);
  35.         double m2 =  h*f2(x1+k1/2,t+h/2);
  36.  
  37.         double k3 =  h*f1(x1+k2/2,x2+m2/2,t+h/2);
  38.         double m3 =  h*f2(x1+k2/2,t+h/2);
  39.  
  40.         double k4 =  h*f1(x1+k3,x2+m3,t+h);
  41.         double m4 =  h*f2(x1+k2,t+h);
  42.  
  43.         x1 += (k1+2*k2+2*k3+k4)/6;
  44.         x2 += (m1+2*m2+2*m3+m4)/6;
  45.         t += h;
  46.  
  47.         cout << setw(10) << t << setw(12) << x1 << setw(12) << x2 << endl;
  48.  
  49.     }
  50.  
  51.     //system("pause");
  52.     return 0;
  53. }
  54.  
Success #stdin #stdout 0s 3456KB
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stdin
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Standard input is empty
stdout
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         0           1           0
      0.01    0.598934  0.00792517
      0.02    0.355535    0.012775
      0.03    0.207742   0.0157975
      0.04    0.117897    0.017749
      0.05   0.0631435    0.019088
      0.06   0.0296148   0.0200918
      0.07  0.00889575   0.0209281
      0.08 -0.00411902   0.0216978
      0.09  -0.0125264   0.0224615
       0.1  -0.0182044   0.0232552
      0.11  -0.0222913   0.0241001
      0.12  -0.0254767   0.0250084
      0.13  -0.0281777   0.0259867
      0.14   -0.030646   0.0270384
      0.15  -0.0330331    0.028165
      0.16  -0.0354297   0.0293665
      0.17  -0.0378895   0.0306425
      0.18  -0.0404439    0.031992
      0.19  -0.0431106   0.0334138
       0.2  -0.0458993   0.0349065
      0.21  -0.0488146   0.0364687
      0.22   -0.051858   0.0380989
      0.23  -0.0550294   0.0397956
      0.24  -0.0583275   0.0415574
      0.25  -0.0617503   0.0433826
      0.26  -0.0652956     0.04527
      0.27  -0.0689609   0.0472179
      0.28  -0.0727435   0.0492249
      0.29  -0.0766408   0.0512896
       0.3  -0.0806501   0.0534106
      0.31  -0.0847687   0.0555866
      0.32   -0.088994    0.057816
      0.33  -0.0933231   0.0600976
      0.34  -0.0977537   0.0624299
      0.35   -0.102283   0.0648118
      0.36   -0.106908   0.0672418
      0.37   -0.111627   0.0697187
      0.38   -0.116438   0.0722411
      0.39   -0.121337   0.0748079
       0.4   -0.126322   0.0774178
      0.41    -0.13139   0.0800694
      0.42   -0.136541   0.0827617
      0.43    -0.14177   0.0854934
      0.44   -0.147076   0.0882634
      0.45   -0.152456   0.0910703
      0.46   -0.157909   0.0939132
      0.47   -0.163431   0.0967907
      0.48   -0.169021   0.0997019
      0.49   -0.174677    0.102646
       0.5   -0.180395     0.10562
      0.51   -0.186175    0.108626
      0.52   -0.192014     0.11166
      0.53    -0.19791    0.114723
      0.54    -0.20386    0.117812
      0.55   -0.209864    0.120928
      0.56   -0.215918    0.124068
      0.57   -0.222021    0.127233
      0.58   -0.228171     0.13042
      0.59   -0.234365     0.13363
       0.6   -0.240603     0.13686
      0.61   -0.246881     0.14011
      0.62   -0.253199    0.143379
      0.63   -0.259554    0.146667
      0.64   -0.265944    0.149971
      0.65   -0.272367    0.153291
      0.66   -0.278823    0.156627
      0.67   -0.285308    0.159977
      0.68   -0.291821     0.16334
      0.69   -0.298361    0.166716
       0.7   -0.304926    0.170103
      0.71   -0.311513    0.173501
      0.72   -0.318122    0.176909
      0.73    -0.32475    0.180326
      0.74   -0.331396    0.183752
      0.75   -0.338058    0.187184
      0.76   -0.344735    0.190623
      0.77   -0.351426    0.194067
      0.78   -0.358127    0.197517
      0.79   -0.364838     0.20097
       0.8   -0.371558    0.204427
      0.81   -0.378285    0.207886
      0.82   -0.385016    0.211347
      0.83   -0.391752    0.214808
      0.84    -0.39849     0.21827
      0.85   -0.405228    0.221731
      0.86   -0.411966    0.225191
      0.87   -0.418701    0.228648
      0.88   -0.425434    0.232103
      0.89   -0.432161    0.235554
       0.9   -0.438881    0.239001
      0.91   -0.445594    0.242443
      0.92   -0.452298    0.245879
      0.93   -0.458992    0.249309
      0.94   -0.465673    0.252731
      0.95   -0.472341    0.256146
      0.96   -0.478995    0.259553
      0.97   -0.485633     0.26295
      0.98   -0.492254    0.266337
      0.99   -0.498857    0.269715
         1    -0.50544    0.273081
      1.01   -0.512003    0.276435
      1.02   -0.518543    0.279777
      1.03    -0.52506    0.283106
      1.04   -0.531552    0.286422
      1.05   -0.538019    0.289723
      1.06   -0.544459    0.293009
      1.07   -0.550871    0.296281
      1.08   -0.557254    0.299536
      1.09   -0.563606    0.302775
       1.1   -0.569928    0.305996
      1.11   -0.576216      0.3092
      1.12   -0.582471    0.312386
      1.13   -0.588691    0.315552
      1.14   -0.594876      0.3187
      1.15   -0.601023    0.321827
      1.16   -0.607133    0.324934
      1.17   -0.613204    0.328021
      1.18   -0.619235    0.331085
      1.19   -0.625224    0.334128
       1.2   -0.631172    0.337148
      1.21   -0.637077    0.340145
      1.22   -0.642938    0.343119
      1.23   -0.648754    0.346068
      1.24   -0.654524    0.348993
      1.25   -0.660247    0.351893
      1.26   -0.665923    0.354768
      1.27   -0.671549    0.357616
      1.28   -0.677127    0.360439
      1.29   -0.682654    0.363234
       1.3   -0.688129    0.366002
      1.31   -0.693552    0.368742
      1.32   -0.698923    0.371455
      1.33   -0.704239    0.374138
      1.34     -0.7095    0.376793
      1.35   -0.714706    0.379418
      1.36   -0.719856    0.382013
      1.37   -0.724948    0.384578
      1.38   -0.729983    0.387112
      1.39   -0.734958    0.389615
       1.4   -0.739874    0.392087
      1.41    -0.74473    0.394526
      1.42   -0.749525    0.396934
      1.43   -0.754257    0.399309
      1.44   -0.758928    0.401651
      1.45   -0.763535    0.403959
      1.46   -0.768078    0.406234
      1.47   -0.772557    0.408475
      1.48    -0.77697    0.410681
      1.49   -0.781318    0.412853
       1.5   -0.785598     0.41499
      1.51   -0.789812    0.417091
      1.52   -0.793957    0.419156
      1.53   -0.798034    0.421186
      1.54   -0.802042    0.423179
      1.55    -0.80598    0.425135
      1.56   -0.809848    0.427055
      1.57   -0.813645    0.428937
      1.58    -0.81737    0.430782
      1.59   -0.821024    0.432589
       1.6   -0.824605    0.434358
      1.61   -0.828112    0.436088
      1.62   -0.831546     0.43778
      1.63   -0.834906    0.439433
      1.64   -0.838191    0.441047
      1.65   -0.841401    0.442621
      1.66   -0.844535    0.444156
      1.67   -0.847593    0.445651
      1.68   -0.850575    0.447106
      1.69   -0.853479     0.44852
       1.7   -0.856306    0.449894
      1.71   -0.859055    0.451227
      1.72   -0.861726    0.452519
      1.73   -0.864318     0.45377
      1.74    -0.86683     0.45498
      1.75   -0.869264    0.456148
      1.76   -0.871617    0.457274
      1.77    -0.87389    0.458359
      1.78   -0.876082    0.459401
      1.79   -0.878194    0.460401
       1.8   -0.880224    0.461359
      1.81   -0.882172    0.462273
      1.82   -0.884038    0.463146
      1.83   -0.885823    0.463975
      1.84   -0.887524    0.464761
      1.85   -0.889143    0.465504
      1.86   -0.890679    0.466204
      1.87   -0.892131     0.46686
      1.88   -0.893499    0.467472
      1.89   -0.894784    0.468041
       1.9   -0.895985    0.468566
      1.91   -0.897101    0.469048
      1.92   -0.898133    0.469485
      1.93    -0.89908    0.469878
      1.94   -0.899942    0.470227
      1.95   -0.900719    0.470531
      1.96   -0.901411    0.470791
      1.97   -0.902017    0.471007
      1.98   -0.902538    0.471178
      1.99   -0.902973    0.471305
         2   -0.903322    0.471387
https://ideone.com/2cerCs
language:
C++14 (gcc 8.3)
created:
9 years ago
visibility:
public

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