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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.

y

_{1}=|x| y

_{2}=-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=y

_{1}, g=y

_{2}

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.