Viewing topic: Wronskian Determinant

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Wronskian Determinant

  • Definition: The Wronskian of a set of n functions y_1, y_2, ... is defined by W(y_1,...,y_n)=|y_1 y_2 ... y_n; (y_1)' (y_2)' ... (y_n)'; | | ... |; (y_1)^((n-1)) (y_2)^((n-1)) ... (y_n)^((n-1))|. If the Wronskian is nonzero in some region, the functions phi_i are linearly independent. If W=0 over some range, the functions are linearly dependent somewhere in the range.

    Source: http://mathworld.wolfram.com

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