(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

I'm pretty sure this has something to do with the Wronskian.

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

3. 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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: How to tell if a pair of functions are linearly dependent or linearly independent

**Physics Forums | Science Articles, Homework Help, Discussion**