Find the Wronskian

  • Thread starter Math10
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  • #1
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Homework Statement


Find the Wronskian of {e^(x)*cos(sqrt(x)), e^(x)*sin(sqrt(x))}.

Homework Equations


W(f, g)=fg'-gf'

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).
 

Answers and Replies

  • #2
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It would help a lot if you edited your post to use latex for your math expressions.
 
  • #3
LCKurtz
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I agree. With almost 250 posts, it is time to learn latex.
 
  • #5
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Never mind, I found the mistake in my problem.
 

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