2. 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 . y" – (2a – 3)y/ + a(a – 3)y = 0 A) 0 < a < 3 B) a < 0 C) a = 0 D) a < 3 Ε ) α<0 and a > 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. 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 .
У" - (2а — 3)/ + a(a - 3)у — 0
A) 0 < a < 3
В) a <0
C) a = 0
D) a < 3
E) a < 0 and a > 3
Transcribed Image Text:2. 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 . У" - (2а — 3)/ + a(a - 3)у — 0 A) 0 < a < 3 В) a <0 C) a = 0 D) a < 3 E) a < 0 and a > 3
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