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    The importance of the Wronskian

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    Determine whether the following functions can be Wronskians on -1<x<1 for a pair of solutions to some equation y''+py'+qy = 0 with p and q continuous.

    a) W(x) = 6e^4x
    b) W(x) = x^3
    c) W(x) = 0
    d) W(x) = (x-1/2)^2

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    Solution Summary

    The solution demonstrates the information about the solutions of the differential equations using the Wronskian.