It can be shown that y1 = x-2, y2 = x-4 and y3 = 2 are solutions to the differential equation 2²y" + 9ry" + 15y' = 0 on the interval (0, 0). Find the Wronskian of y1, Y2, Y3 (Note the order matters) W (y1, Y2, Y3) = Do the functions y1, Y2, Y3 form a fundamental set on (0, o0)? Answer should be yes or no

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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It can be shown that y1 = x-2, y2 = 1-4 and y3
2 are solutions to the differential equation
a?y" + 9xy" + 15y' = 0
on the interval (0, ).
Find the Wronskian of y1, Y2, Y3 (Note the order matters)
W (y1, Y2, Y3) =
Do the functions Y1, Y2, Y3 form a fundamental set on (0, ∞)?
Answer should be yes or no
Transcribed Image Text:It can be shown that y1 = x-2, y2 = 1-4 and y3 2 are solutions to the differential equation a?y" + 9xy" + 15y' = 0 on the interval (0, ). Find the Wronskian of y1, Y2, Y3 (Note the order matters) W (y1, Y2, Y3) = Do the functions Y1, Y2, Y3 form a fundamental set on (0, ∞)? Answer should be yes or no
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