fork(1) download 
  1. //#include "pch.h"
  2. #include<iostream>
  3. #include<iomanip>
  4. #include<cmath>
  5. using namespace std;
  6. double df(double x, double y)            //function for defining dy/dx
  7. {
  8. 	double a = (x * x)/(y-1);                //Enter the Differential Equation to be solved
  9. 	return a;
  10.  
  11.  
  12. }
  13.  
  14. int main()
  15. {
  16. 	char ch, ch1;
  17. 	cout << "This is the Eullers Method calculator." << endl;
  18. 	cout << "Enter the differential equation to be solved in line 8 of the code." << endl;
  19. 	cout<<"have you entered the right equation? (Enter Y or N)" << endl;
  20. 	cin >> ch;
  21. 	ch1 = ch;
  22. 	while (ch1 == 'y' || ch1 == 'Y') {
  23.  
  24.  
  25. 		int n;
  26. 		double x0, y0, x, y, h;            
  27. 		cout.precision(4);            //sets number of decimal places to be displayed.
  28. 		cout.setf(ios::fixed);			//displays floating point numbers in standard notation
  29. 		cout << "\nEnter the initial values of x and y respectively:\n";        
  30. 		cin >> x0 >> y0;
  31. 		cout << "\nFor what value of x do you want to find the value of y\n";
  32. 		cin >> x;
  33. 		cout << "\nEnter the step size h:\n";            
  34. 		cin >> h;			//Step size of 0.0005 for percision
  35. 		cout << "x" << setw(19) << "y" << setw(19) << "  k  " << setw(16) << "y(i+1)\n";
  36. 		cout << "----------------------------------------------------------\n";
  37. 		while (fabs(x - x0) > 0.000001)
  38. 		{
  39. 			y = y0 + (h*df(x0, y0));            //calculate next y   
  40. 			cout << x0 << setw(16) << y0 << setw(16) << df(x0, y0) << setw(16) << y << endl;
  41. 			y0 = y;                    //pass this new y as y0 in the next iteration.
  42. 			x0 = x0 + h;                //calculate new x.
  43. 		}
  44. 		cout << x0 << setw(16) << y << endl;
  45. 		cout << "----------------------------------------------------------------------" << endl;
  46. 		cout << "y(" << x0 << ") = " << y << endl;
  47. 		break;
  48. 	}
  49. 	goto EndLable;
  50. EndLable:
  51. 	cout << "----------------------------------------------------------------------" << endl;
  52. 	cout << "Program will end so that you may enter a different equation in line 8 of the program\n" << endl;
  53.  
  54. 	return 0;
  55. }
Success #stdin #stdout 0s 15240KB
comments (?)
stdin 
y
-1
-0.5
2
0.025
stdout 
This is the Eullers Method calculator.
Enter the differential equation to be solved in line 8 of the code.
have you entered the right equation? (Enter Y or N)

Enter the initial values of x and y respectively:

For what value of x do you want to find the value of y

Enter the step size h:
x                  y                k           y(i+1)
----------------------------------------------------------
-1.0000         -0.5000         -0.6667         -0.5167
-0.9750         -0.5167         -0.6268         -0.5323
-0.9500         -0.5323         -0.5890         -0.5471
-0.9250         -0.5471         -0.5531         -0.5609
-0.9000         -0.5609         -0.5189         -0.5739
-0.8750         -0.5739         -0.4865         -0.5860
-0.8500         -0.5860         -0.4555         -0.5974
-0.8250         -0.5974         -0.4261         -0.6081
-0.8000         -0.6081         -0.3980         -0.6180
-0.7750         -0.6180         -0.3712         -0.6273
-0.7500         -0.6273         -0.3457         -0.6359
-0.7250         -0.6359         -0.3213         -0.6440
-0.7000         -0.6440         -0.2981         -0.6514
-0.6750         -0.6514         -0.2759         -0.6583
-0.6500         -0.6583         -0.2548         -0.6647
-0.6250         -0.6647         -0.2347         -0.6706
-0.6000         -0.6706         -0.2155         -0.6759
-0.5750         -0.6759         -0.1973         -0.6809
-0.5500         -0.6809         -0.1800         -0.6854
-0.5250         -0.6854         -0.1635         -0.6895
-0.5000         -0.6895         -0.1480         -0.6932
-0.4750         -0.6932         -0.1333         -0.6965
-0.4500         -0.6965         -0.1194         -0.6995
-0.4250         -0.6995         -0.1063         -0.7021
-0.4000         -0.7021         -0.0940         -0.7045
-0.3750         -0.7045         -0.0825         -0.7065
-0.3500         -0.7065         -0.0718         -0.7083
-0.3250         -0.7083         -0.0618         -0.7099
-0.3000         -0.7099         -0.0526         -0.7112
-0.2750         -0.7112         -0.0442         -0.7123
-0.2500         -0.7123         -0.0365         -0.7132
-0.2250         -0.7132         -0.0295         -0.7140
-0.2000         -0.7140         -0.0233         -0.7145
-0.1750         -0.7145         -0.0179         -0.7150
-0.1500         -0.7150         -0.0131         -0.7153
-0.1250         -0.7153         -0.0091         -0.7155
-0.1000         -0.7155         -0.0058         -0.7157
-0.0750         -0.7157         -0.0033         -0.7158
-0.0500         -0.7158         -0.0015         -0.7158
-0.0250         -0.7158         -0.0004         -0.7158
0.0000         -0.7158         -0.0000         -0.7158
0.0250         -0.7158         -0.0004         -0.7158
0.0500         -0.7158         -0.0015         -0.7159
0.0750         -0.7159         -0.0033         -0.7159
0.1000         -0.7159         -0.0058         -0.7161
0.1250         -0.7161         -0.0091         -0.7163
0.1500         -0.7163         -0.0131         -0.7166
0.1750         -0.7166         -0.0178         -0.7171
0.2000         -0.7171         -0.0233         -0.7177
0.2250         -0.7177         -0.0295         -0.7184
0.2500         -0.7184         -0.0364         -0.7193
0.2750         -0.7193         -0.0440         -0.7204
0.3000         -0.7204         -0.0523         -0.7217
0.3250         -0.7217         -0.0613         -0.7233
0.3500         -0.7233         -0.0711         -0.7250
0.3750         -0.7250         -0.0815         -0.7271
0.4000         -0.7271         -0.0926         -0.7294
0.4250         -0.7294         -0.1044         -0.7320
0.4500         -0.7320         -0.1169         -0.7349
0.4750         -0.7349         -0.1300         -0.7382
0.5000         -0.7382         -0.1438         -0.7418
0.5250         -0.7418         -0.1582         -0.7457
0.5500         -0.7457         -0.1733         -0.7501
0.5750         -0.7501         -0.1889         -0.7548
0.6000         -0.7548         -0.2052         -0.7599
0.6250         -0.7599         -0.2220         -0.7655
0.6500         -0.7655         -0.2393         -0.7714
0.6750         -0.7714         -0.2572         -0.7779
0.7000         -0.7779         -0.2756         -0.7848
0.7250         -0.7848         -0.2945         -0.7921
0.7500         -0.7921         -0.3139         -0.8000
0.7750         -0.8000         -0.3337         -0.8083
0.8000         -0.8083         -0.3539         -0.8172
0.8250         -0.8172         -0.3746         -0.8265
0.8500         -0.8265         -0.3956         -0.8364
0.8750         -0.8364         -0.4169         -0.8468
0.9000         -0.8468         -0.4386         -0.8578
0.9250         -0.8578         -0.4606         -0.8693
0.9500         -0.8693         -0.4828         -0.8814
0.9750         -0.8814         -0.5053         -0.8940
1.0000         -0.8940         -0.5280         -0.9072
1.0250         -0.9072         -0.5509         -0.9210
1.0500         -0.9210         -0.5739         -0.9353
1.0750         -0.9353         -0.5971         -0.9503
1.1000         -0.9503         -0.6204         -0.9658
1.1250         -0.9658         -0.6438         -0.9819
1.1500         -0.9819         -0.6673         -0.9986
1.1750         -0.9986         -0.6908         -1.0158
1.2000         -1.0158         -0.7143         -1.0337
1.2250         -1.0337         -0.7379         -1.0521
1.2500         -1.0521         -0.7614         -1.0712
1.2750         -1.0712         -0.7849         -1.0908
1.3000         -1.0908         -0.8083         -1.1110
1.3250         -1.1110         -0.8317         -1.1318
1.3500         -1.1318         -0.8549         -1.1532
1.3750         -1.1532         -0.8781         -1.1751
1.4000         -1.1751         -0.9011         -1.1976
1.4250         -1.1976         -0.9240         -1.2207
1.4500         -1.2207         -0.9468         -1.2444
1.4750         -1.2444         -0.9694         -1.2686
1.5000         -1.2686         -0.9918         -1.2934
1.5250         -1.2934         -1.0140         -1.3188
1.5500         -1.3188         -1.0361         -1.3447
1.5750         -1.3447         -1.0580         -1.3711
1.6000         -1.3711         -1.0796         -1.3981
1.6250         -1.3981         -1.1011         -1.4257
1.6500         -1.4257         -1.1224         -1.4537
1.6750         -1.4537         -1.1434         -1.4823
1.7000         -1.4823         -1.1642         -1.5114
1.7250         -1.5114         -1.1848         -1.5410
1.7500         -1.5410         -1.2052         -1.5712
1.7750         -1.5712         -1.2254         -1.6018
1.8000         -1.6018         -1.2453         -1.6329
1.8250         -1.6329         -1.2650         -1.6646
1.8500         -1.6646         -1.2845         -1.6967
1.8750         -1.6967         -1.3037         -1.7293
1.9000         -1.7293         -1.3227         -1.7623
1.9250         -1.7623         -1.3415         -1.7959
1.9500         -1.7959         -1.3600         -1.8299
1.9750         -1.8299         -1.3784         -1.8643
2.0000         -1.8643
----------------------------------------------------------------------
y(2.0000) = -1.8643
----------------------------------------------------------------------
Program will end so that you may enter a different equation in line 8 of the program
https://ideone.com/Ooc0nL
language:
C++ (gcc 8.3)
created:
6 years ago
visibility:
public

Share or Embed source code

Discover > Sphere Engine API

The brand new service which powers Ideone!

Discover > IDE Widget

Widget for compiling and running the source code in a web browser!