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- Bessel's differential equation is x² y" (x) + x y' (x) + (x² – c²) y(x) = 0 Transform it into a new differential equation of a new variable u(x) and then find the solution of the resultant differential equation. Where y(x) = Jc(x) = x° u(x) %3D

- Bessel's differential equation is x² y" (x) + x y' (x) + (x² – c²) y(x) = 0 Transform it into a new differential equation of a new variable u(x) and then find the solution of the resultant differential equation. Where y(x) = Jc(x) = x° u(x) %3D

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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2- Bessel's differential equation is x² y"(x) + x y' (x)+ (x² – c²) y(x) = Transform it into a mew differential equation of a new variable u(x) and then find the solution of the resultant differential equation. Where y(x) = J.(x) = x° u(x) %3D
Transcribed Image Text:2- Bessel's differential equation is x² y"(x) + x y' (x)+ (x² – c²) y(x) = Transform it into a mew differential equation of a new variable u(x) and then find the solution of the resultant differential equation. Where y(x) = J.(x) = x° u(x) %3D
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