Wronskian Suppose that f and g are differentiable functions on the unit interval I. The Wronskian of

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Wronskian Suppose that f and g are differentiable functions on the unit interval I. The Wronskian of f and g is given by

Show that if W[f, g] (t) ( 0 for all t in I, then f and g are linearly independent. If c1 f(t) + c2g(t) ( 0, then c1 f' (t) + c2g'(t) ( 0; use Cramer's Rule to solve for c1 and c2?

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Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

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Question Posted: May 26, 2016 06:03 AM

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Wronskian Suppose that f and g are differentiable functions on the unit interval I. The Wronskian of

Question:

fa) g(t) = f(t)g"(t)-f'(t)g(t).

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Wronskian We assume that the Wronskian function Wf g t ft g t f t g t 0 For every t 0 1 To s...View the full answer

Differential Equations and Linear Algebra

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