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Double root. If D2 + aD + bl has distinct roots u and A. show that y = (e"* - e^./H ). Obtain from this a solution a particular solution is %3D tede by letting u → and applying l'Hôpital's rule.

Double root. If D2 + aD + bl has distinct roots u and A. show that y = (e"* - e^./H ). Obtain from this a solution a particular solution is %3D tede by letting u → and applying l'Hôpital's rule.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Double root. If D2 + aD + bl has distinct roots u and A. show that a particular solution is y = (e - e^*)/(µ – A). Obtain from this a solution %3D redr by letting u →A and applying l'Hôpital's rule.
Transcribed Image Text:Double root. If D2 + aD + bl has distinct roots u and A. show that a particular solution is y = (e - e^*)/(µ – A). Obtain from this a solution %3D redr by letting u →A and applying l'Hôpital's rule.
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