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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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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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