a) Check that the functions e^x, e^-x,coshx are solutions of y'''-y'=0 b) show directly that W(e^x, e^-x,coshx)=0 and conclude that these functions do not form a fundamental set c)Find a fundamental set of solutions by inspection. Justify your answer by computing the wronskian

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 51EQ
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a) Check that the functions e^x, e^-x,coshx are solutions of

y'''-y'=0

b) show directly that W(e^x, e^-x,coshx)=0 and conclude that these functions do not form a fundamental set

c)Find a fundamental set of solutions by inspection. Justify your answer by computing the wronskian

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