Confirming Wronskian Determinants with Basic Functions

[sapiental]

Homework Statement

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

 

[Dick]

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.