Show that the Wronskians of two fundamental sets of solutions of the system x' = A(t)x can differ at most by a multiplicative constant. Hint: Use Abels Formula: W(t) = cel (a11(t)+.teen(t))dt_ and suppose we have two fundamental sets of solutions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 46E
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Show that the Wronskians of two fundamental sets of solutions of the system x'
A(t)x can differ at most by a multiplicative constant.
Hint: Use Abels Formula: W (t)
ces (a11(t)+. +ann(t))dt, and suppose we have two
fundamental sets of solutions.
Transcribed Image Text:Show that the Wronskians of two fundamental sets of solutions of the system x' A(t)x can differ at most by a multiplicative constant. Hint: Use Abels Formula: W (t) ces (a11(t)+. +ann(t))dt, and suppose we have two fundamental sets of solutions.
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