J-Man18

ED Lab 8

Nov 19th, 2019
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  1. https://rextester.com/l/octave_online_compiler
  2.  
  3. a)
  4. y'' - 6 * y' + 9 * y = e ^ (3 * x)
  5. b)
  6. y'' - 2 * y' + 2 * y = 5 * e ^ (2 * x) * cos(x)
  7. c)
  8. {   y'' - 2 * y' + y = 0
  9. {   y(1) = 1
  10. {   y'(1) = 2
  11.  
  12. Rezolvare:
  13. pkg load symbolic
  14. syms y(x)
  15. %   a)
  16. dsolve(diff(diff(y(x), x), x) - 6 * diff(y(x), x) + 9 * y - exp(3 * x))
  17. %   inca o metoda pt y''
  18. dsolve(diff(y(x), x, x) - 6 * diff(y(x), x) + 9 * y - exp(3 * x))
  19. %   inca o metoda pt y''
  20. dsolve(diff(y(x), 2) - 6 * diff(y(x), x) + 9 * y - exp(3 * x))
  21.  
  22. %   b)
  23. dsolve(diff(diff(y(x), x), x) - 2 * diff(y(x), x) + 2 * y - 5 * exp(2 * x) * cos(x))
  24. %   c)
  25. dsolve(diff(y(x), 2) - 2 * diff(y(x), x) + y == 0, y(1) == 1, diff(y(x), x)(1) == 2)
  26. %0  dunno ce e sau ce treb sa ii fac sa mearga
  27. syms y1(x)
  28. y1(x) = x*x*A*exp(3*x)
  29. diff(y1(x),x)
  30. diff(y1(x),2)
  31.  
  32. solve(diff(y1(x), 2) - 6*diff(y1(x),x) + 9*y1(x) == exp(3*x),A)
  33. %0
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