Clarification of Wronskian

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Let's say I have an interval consisting of 10 elements and I calculate the Wronskian of the given functions. Out of the interval of 10 elements, substitution of 9 of the elements in the equation obtained after applying determinant(Wronskian) results in 0. But there is one number in the interval that doesn't lead the determinant value to zero. Would I still consider those functions as linear independent and also consider them to form the general solution for the ODE?