I'm given bases for a solution space [itex]\left \{ x,xe^x,x^2e^x \right \}[/itex]. Clearly these form a basis (are linearly independent).(adsbygoogle = window.adsbygoogle || []).push({});

But, unless I've made a mistake, doing the Wronskian on this yields [itex]W(x) = x^3e^x[/itex].

Isn't this Wronskian equal to zero at x = 0? Isn't that a problem for dependence/independence?

note: a DE to which this solution space applies has not been provided in the exercise.

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# Need help interpreting the Wronskian

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