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Consider the Euler equation ay"– (2a- 1)ay'+ (a +4)y 0, r> 0. Find conditions on a so that all solutions approach zero as a 0.

Consider the Euler equation ay"– (2a- 1)ay'+ (a +4)y 0, r> 0. Find conditions on a so that all solutions approach zero as a 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 32RE
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Consider the Euler equation y" (2a - 1)ay + (a +4)y = 0, z > 0. Find conditions on a so that all solutions approach zero as a 0t. O a. a >0 O b. a < 0 a> 2 C. d. a< 2
Transcribed Image Text:Consider the Euler equation y" (2a - 1)ay + (a +4)y = 0, z > 0. Find conditions on a so that all solutions approach zero as a 0t. O a. a >0 O b. a < 0 a> 2 C. d. a< 2
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