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Homework Help: Find the Wronskian

  1. Feb 26, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the Wronskian of {e^(x)*cos(sqrt(x)), e^(x)*sin(sqrt(x))}.

    2. Relevant equations
    W(f, g)=fg'-gf'

    3. The attempt at a solution
    W(f, g)=(e^(x)*cos(sqrt(x)))(e^(x)*cos(sqrt(x))*1/(2x^1/2))-(e^(x)*sin(sqrt(x)))(-e^(x)*sin(sqrt(x))*1/(2x^1/2)+e^(x)*cos(sqrt(x)))
    After simplifying this, I got (e^(2x)(1-2*sqrt(x)*sin(sqrt(x))*cos(sqrt(x)))/(2x^(1/2)). But the correct answer is e^(2x)/(2x^1/2).
  2. jcsd
  3. Feb 26, 2015 #2


    Staff: Mentor

    It would help a lot if you edited your post to use latex for your math expressions.
  4. Feb 26, 2015 #3


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    Science Advisor
    Homework Helper
    Gold Member

    I agree. With almost 250 posts, it is time to learn latex.
  5. Feb 26, 2015 #4


    Staff: Mentor

    Under the INFO menu item at the top of the page, one of the drop-down items is Help/How Tos
    The sixth link in this page goes to a LaTeX summary -- https://www.physicsforums.com/help/
  6. Feb 27, 2015 #5
    Never mind, I found the mistake in my problem.
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