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Wronskian Determinants help

by sapiental
Tags: determinants
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sapiental
#1
Nov5-07, 09:49 PM
P: 120
1. The problem statement, all variables and given/known data

Hi, could someone please confirm my results. I just put my answers because the procedure is so long. let me know if you get the same results.

1) Wronskian(e^x, e^-x, sinh(x)) = 0

2) Wronskian(cos(ln(x)), sin(ln(x)) = 1/x * [cos^2(ln(x)) + sin^2(ln(x))] = 1/x

thanks in advance
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Dick
#2
Nov5-07, 10:40 PM
Sci Advisor
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Thanks
P: 25,243
The one is super easy. sinh(x) is a linear combination of e^x and e^(-x). So 0. You don't even have to compute anything. And you are right on the second one as well.


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