Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?

    Thanks...
     
  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

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    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

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Yes, thanks for the correction.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Can Wronskian be used for all?
  1. Wronskian ODEs (Replies: 1)

  2. Constant Wronskian (Replies: 6)

  3. Wronskian formula (Replies: 3)

  4. Wronskian question (Replies: 2)

Loading...