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Jun 25th, 2018
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  1. function project55
  2.  
  3. x0 = 1; y0 = 2; a = 3;
  4.  
  5. sol = dsolve('Dy = (2*y)/x + 4*(x^4)', 'y(1) = 2', 'x');
  6. x = linspace(x0,a);
  7. plot(x, eval(sol), 'k')
  8.  
  9. grid on
  10. hold on
  11.  
  12. h = [0.5, 0.4, 0.02];
  13. c = ['b', 'g', 'm'];
  14.  
  15. function z = f(x,y)
  16. z = (2*y)/x + 4*(x^4);
  17. end
  18.  
  19. for j = 1: length(h)
  20. x = []; y = [];
  21. x = x0:h(j):a;
  22. y(1) = y0;
  23. for k = 1: length(x)-1
  24. y(k+1) = y(k) + h(j)*f(x(k), y(k));
  25. end
  26. plot(x,y,c(j))
  27. end
  28.  
  29. end
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