Hi,

Please could someone confirm if I've does this question correctly or not?

Thanks

Find out whether or not the functions $\displaystyle x$, $\displaystyle e^x$ and $\displaystyle xe^x$ are linearly dependent.

So, the Wronskian of those functions works out to be:

$\displaystyle (x-2)e^{2x}$

which is equal to zero when $\displaystyle x=2$, so the functions are linearly dependent then?