Given the differential equation 4y^(IV) - 45y" - 70y' - 24y = 0, what are the roots of its auxiliary equation? O 4,-2, -1/2, -3/2 О 4, %2, 3, -3 O -4, 2, ½, 3/2 ) None of the other choices О 1,4, %2, 3/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Given the differential equation
4y^(IV) - 45y" - 70y' - 24y = 0,
what are the roots of its
auxiliary equation?
4, -2, -1/2, -3/2
4, ½, 3, -3
-4, 2, ½, 3/2
O None of the other choices
O 1, 4, ½, 3/2
Transcribed Image Text:Given the differential equation 4y^(IV) - 45y" - 70y' - 24y = 0, what are the roots of its auxiliary equation? 4, -2, -1/2, -3/2 4, ½, 3, -3 -4, 2, ½, 3/2 O None of the other choices O 1, 4, ½, 3/2
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