So I know there are a few threads and many websites on this, but I am not finding what I am looking for. To determine whether a set of functions are linearly dependent or independent I understand that the Wronskian can be used, but many example problems state that "clearly by inspection" some functions are dependent or independent. This method of inspection is not always trivial for me, so is the Wronskian a guaranteed way to solve these problems? For example if: [itex]f = x,[/itex] [itex]g = x+2,[/itex] [itex]h = x+5[/itex] The Wronskian generates a zero which shows dependence. Upon inspection I would think otherwise, but then again I am not a mathematician.