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Homework Statement
Determine if the pair of functions given are linearly independent or linearly dependent on the interval 1<x<∞, and give a reason for your answer.
y1=|x| y2=-3x
Homework Equations
I'm pretty sure this has something to do with the Wronskian.
W(f,g)=fg'-f'g
The Attempt at a Solution
f=y1, g=y2
f'=1, g'=-3
I can assume that the derivative of the abs. value of x is just 1, because the question says that x is greater than 1, right?
So then W(f,g)=-3|x|+3x
can i assume x is positive again, so therefore the Wronskian is equal to zero? Would this then make my solution linearly independent?
Thanks.