Find the general circularly symmetric solution to the fourth-order equation 4² (²) =0. E Hint: use plane polar coordinates (p, o), and do not be too eager to expand everything out. Find those circularly symmetric solutions in the unit disc that are equal to unity at the centre p = 0 and vanish on the boundary p = 1. Give a further condition to render the solution unique.
Find the general circularly symmetric solution to the fourth-order equation 4² (²) =0. E Hint: use plane polar coordinates (p, o), and do not be too eager to expand everything out. Find those circularly symmetric solutions in the unit disc that are equal to unity at the centre p = 0 and vanish on the boundary p = 1. Give a further condition to render the solution unique.
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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