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Wronskian

Definition. The Wronskian of two functions f and g is W(f,g) = fg′–gf′. More generally, for n real- or complex-valued functions f1, ...

Wronskian is described in multiple online sources, as addition to our editors' articles, see section below for printable documents, Wronskian books and related discussion.

Suggested Pdf Resources

Linear Independence & the Wronskian of Two Functions
The Wronskian Theorems §1. Second order equations. Second
The Wronskian Theorems. §1. Second order equations.
WRONSKIANS AND LINEAR INDEPENDENCE The Wronskian of a
analytic functions has a zero Wronskian only if it is linearly dependent. tions is defined as the determinant W(f1,...,fn) of the Wronskian matrix.
Using the Wronskian Test for Linear Independence To Show That A
Take three functions, f, g, and h, and apply to them the Wronskian test for linear However, if the Wronskian test is equal to zero then it is.
More On The Wronskian
Differential Equations. LECTURE 14. More On The Wronskian.

Suggested Web Resources

Wronskian - Wikipedia, the free encyclopedia
In mathematics, the Wronskian is a determinant introduced by Józef Hoene- Wronski (1812) and named by Thomas Muir (1882, Chapter XVIII).
Pauls Online Notes : Differential Equations - More on the Wronskian
In the previous section we introduced the Wronskian to help us determine whether two solutions were a fundamental set of solutions.
Linear Independence and the Wronskian
Linear Independence and the Wronskian. Let tex2html_wrap_inline41 and tex2html_wrap_inline43 be two differentiable functions.
Wronskian -- from Wolfram MathWorld
Aug 29, 2011 If the Wronskian is nonzero in some region, the functions phi_i are linearly Gradshteyn, I. S. and Ryzhik, I.
Homogeneous 2nd order Differential Equations and Wronskian
May 17, 2010 @PianoManX2 you will have to do the wronskian first. But we never got far enough to be troubled with complex solutions i'm afraid.

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