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Find the Wronskian?

  1. Jul 19, 2013 #1
    If the Wronskian of f and g is tcos(t)-sin(t), and if u=f+3g, v=f-g, find the Wronskian of u and v.

    W=fg'-gf'
    (f+3g)(f-g)'-(f+3g)'(f-g)
    What's next?
     
  2. jcsd
  3. Jul 19, 2013 #2

    Mark44

    Staff: Mentor

    Do not delete the template when you post. It's there for a reason. I'll let it slide this time...
    You have fg' - gf' = tcos(t)-sin(t).

    I would expand (f+3g)(f-g)'-(f+3g)'(f-g) to see what that does. (f - g)' is just f' - g', and similar for (f + 3g)'.
     
  4. Jul 19, 2013 #3

    LCKurtz

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    It would be easier to use properties of determinants. For example, what is W(u+v,g) in general for any u and v in terms of simpler Wronskians.
     
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