Neglect higher order derivatives in expressionLinearity AssumptionReplace rule with function? Derivatives...
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Neglect higher order derivatives in expression
Linearity AssumptionReplace rule with function? Derivatives don't evaluateTransformation of Derivatives under change of coordinatesReplace function and its derivativesSymbolic derivatives and substitutionReplaceAll and derivativesSetting a function and all its derivatives to zeroReplace functions of an expression by their zeroth derivativeReplaceString on complicated expressionReplace derivatives using vector notationFastest way to replace/evaluate symbols in long expressions
$begingroup$
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
edited 2 mins ago
Michael E2
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
$endgroup$
add a comment |
$begingroup$
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
edited 2 mins ago
Michael E2
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
$endgroup$
$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago
add a comment |
$begingroup$
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
edited 2 mins ago
Michael E2
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
$endgroup$
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
edited 2 mins ago
Michael E2
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
edited 2 mins ago
Michael E2
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
edited 2 mins ago
Michael E2
147k12198475
edited 2 mins ago
Michael E2
147k12198475
edited 2 mins ago
Michael E2
147k12198475
147k12198475
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
asked 25 mins ago
Mirko AvetaMirko Aveta
908617
908617
$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago
add a comment |
$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago
$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago
$begingroup$
Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
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.
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
$endgroup$
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
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.
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
$endgroup$
add a comment |
$begingroup$
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.
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
$endgroup$
add a comment |
$begingroup$
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.
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
$endgroup$
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.
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
edited 13 mins ago
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
answered 22 mins ago
Henrik SchumacherHenrik Schumacher
54.4k472151
54.4k472151
add a comment |
add a comment |
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Related: mathematica.stackexchange.com/questions/192076/…
$endgroup$
– Michael E2
2 mins ago