Verification of the value of the discriminant left as an exercise for the student. The Wronskian is zero, so the system could be dependent, but not necessasarily.
If they are linearly dependent, then you should be able to find constants , two of which must be non-zero such that:
for all . Intuitively speaking, I'd say they are independent.
John
My calculator said it, I believe it, that settles it
