Wronskian: Difference between revisions
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(Created page with "Category:Differential Equations The '''Wronskian''' of n equations is the determinant of the following matrix <math> \begin{vmatrix} f_1(x) & f_2(x) & \cdots & f_n(x) \\ f_1'(x) & f_2'(x) & \cdots & f_n'(x) \\ \vdots & \vdots & \ddots & \vdots \\ f_1^{(n-1)}(x) & f_2^{(n-1)}(x) & \cdots & f_n^{(n-1)}(x) \end{vmatrix} </math>") |
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[[Category:Differential Equations]] | [[Category:Differential Equations]] | ||
The '''Wronskian''' of n equations is the determinant of the following matrix | The '''Wronskian''' of n equations is the determinant of the following matrix. | ||
<math> | <math> | ||
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\end{vmatrix} | \end{vmatrix} | ||
</math> | </math> | ||
It can be used to check if solutions of differential equations are linearly independent (when the Wronskian is nonzero). | |||
Revision as of 22:28, 21 May 2024
The Wronskian of n equations is the determinant of the following matrix.
It can be used to check if solutions of differential equations are linearly independent (when the Wronskian is nonzero).
