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LinearIndependentQ

LinearIndependentQ[ops, {x1, x2, ...}]
gives True if the set of differential operators ops is linear independent and False otherwise.
  • The list {x1,x2,...} defines the set of operands the operators ops act upon.
  • To define the set of operators Partial can be used.
EXAMPLESCLOSE ALL
Basic Examples   (2)
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To check if the set {x, x+y} is linear independent:
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On the other hand, it is trivial that the set {x, 2 x} is linear dependent:
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