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Can Wronskian be used for all?

  1. Mar 22, 2009 #1
    Is there any exception where I can't use wronskian rule to see if given functions are linearly independent or dependent?

  2. jcsd
  3. Mar 23, 2009 #2
    You can't use the Wronskian if the functions are not differentiable! :biggrin:
  4. Mar 23, 2009 #3


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    Indeed, if the functions in question are not all solutions to the same linear differential equation, then the Wronskian does not help.

    So, to use the Wronskian to determine whether two functions are linearly independent they must be twice differrentiable, for three functions, thrice differentiable, etc.
  5. Jul 21, 2010 #4
    In order to find the wronskian of n functions, it is enough that they have (n-1) differentials because you will then have the same number of equations as the functions. Sorry for being late to the party!
  6. Jul 21, 2010 #5


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    Yes, thanks for the correction.
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