Neglect higher order derivatives in expression












4












$begingroup$


Say I have an expression of this sort:



Derivative[5][x1][t]+Derivative[3][x2][t]+x1[t]+Derivative[2][x1][t]


and so on...



I would like to ask Mathematica to neglext all expressions having derivatives higher than a given order (say N).



What would be a good solution for that?






calculus-and-analysis replacement







share|improve this question











$endgroup$








  • 3




    $begingroup$
    Related: mathematica.stackexchange.com/questions/192076/…
    $endgroup$
    – Michael E2
    7 hours ago
















4












$begingroup$


Say I have an expression of this sort:



Derivative[5][x1][t]+Derivative[3][x2][t]+x1[t]+Derivative[2][x1][t]


and so on...



I would like to ask Mathematica to neglext all expressions having derivatives higher than a given order (say N).



What would be a good solution for that?






calculus-and-analysis replacement







share|improve this question











$endgroup$








  • 3




    $begingroup$
    Related: mathematica.stackexchange.com/questions/192076/…
    $endgroup$
    – Michael E2
    7 hours ago














4












4








4





$begingroup$


Say I have an expression of this sort:



Derivative[5][x1][t]+Derivative[3][x2][t]+x1[t]+Derivative[2][x1][t]


and so on...



I would like to ask Mathematica to neglext all expressions having derivatives higher than a given order (say N).



What would be a good solution for that?






calculus-and-analysis replacement







share|improve this question











$endgroup$




Say I have an expression of this sort:



Derivative[5][x1][t]+Derivative[3][x2][t]+x1[t]+Derivative[2][x1][t]


and so on...



I would like to ask Mathematica to neglext all expressions having derivatives higher than a given order (say N).



What would be a good solution for that?






calculus-and-analysis replacement




calculus-and-analysis replacement






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 7 hours ago









Michael E2

147k12198475




147k12198475










asked 7 hours ago









Mirko AvetaMirko Aveta

947617




947617








  • 3




    $begingroup$
    Related: mathematica.stackexchange.com/questions/192076/…
    $endgroup$
    – Michael E2
    7 hours ago














  • 3




    $begingroup$
    Related: mathematica.stackexchange.com/questions/192076/…
    $endgroup$
    – Michael E2
    7 hours ago








3




3




$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
7 hours ago




$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
7 hours ago










1 Answer
1






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10












$begingroup$

Derivative[5][x1][t] + Derivative[3][x2][t] + x1[t] + 

  Derivative[2][x1][t] /. Derivative[k_][x_][t_] /; k >= 3 :> 0



x1[t] + (x1^[Prime][Prime])[t]




For understanding /; see the documentation of Condition.






share|improve this answer











$endgroup$













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    1 Answer
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    1 Answer
    1






    active

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    active

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    active

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    10












    $begingroup$

    Derivative[5][x1][t] + Derivative[3][x2][t] + x1[t] + 
    
  Derivative[2][x1][t] /. Derivative[k_][x_][t_] /; k >= 3 :> 0



    x1[t] + (x1^[Prime][Prime])[t]




    For understanding /; see the documentation of Condition.






    share|improve this answer











    $endgroup$


















      10












      $begingroup$

      Derivative[5][x1][t] + Derivative[3][x2][t] + x1[t] + 
      
  Derivative[2][x1][t] /. Derivative[k_][x_][t_] /; k >= 3 :> 0



      x1[t] + (x1^[Prime][Prime])[t]




      For understanding /; see the documentation of Condition.






      share|improve this answer











      $endgroup$
















        10












        10








        10





        $begingroup$

        Derivative[5][x1][t] + Derivative[3][x2][t] + x1[t] + 
        
  Derivative[2][x1][t] /. Derivative[k_][x_][t_] /; k >= 3 :> 0



        x1[t] + (x1^[Prime][Prime])[t]




        For understanding /; see the documentation of Condition.






        share|improve this answer











        $endgroup$



        Derivative[5][x1][t] + Derivative[3][x2][t] + x1[t] + 
        
  Derivative[2][x1][t] /. Derivative[k_][x_][t_] /; k >= 3 :> 0



        x1[t] + (x1^[Prime][Prime])[t]




        For understanding /; see the documentation of Condition.







        share|improve this answer














        share|improve this answer



        share|improve this answer








        edited 7 hours ago

























        answered 7 hours ago









        Henrik SchumacherHenrik Schumacher

        54.6k473152




        54.6k473152






























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