Find the value of a for which the solutions of the following differential equation defined by y(t) approaches to zero as t goes to oo. "- (2α-3)y + α(α-3)y 0 A) 0 < a < 3 B) a < 0 C) a = 0 D) a < 3 Ε ) α<0and α > 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the value of a for which the solutions of the following differential equation defined by y(t) approaches
to zero as t goes to o .
y" – (2a – 3)y/ + a(a – 3)y = 0
A) 0<α<3
B) a < 0
C) a = 0
D) a < 3
Ε ) α<0and α > 3
Transcribed Image Text:Find the value of a for which the solutions of the following differential equation defined by y(t) approaches to zero as t goes to o . y" – (2a – 3)y/ + a(a – 3)y = 0 A) 0<α<3 B) a < 0 C) a = 0 D) a < 3 Ε ) α<0and α > 3
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