If are sufficiently differentiable, their *Wronskian* is defined as

Obviously, if are linearly dependent, then their Wronskian vanishes identically on , and the converse is true if the functions are analytic. Find non-analytic functions for which the converse fails.

### Like this:

Like Loading...

Bump functions with disjoint supports.

LikeLiked by 1 person

The functions and do the trick as well.

LikeLike