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1.) Write the two linearly independent solutions of the equations below and show the process involved in arriving at these solutions. d?u 1 du +u = 0 z dz а.) dz?

1.) Write the two linearly independent solutions of the equations below and show the process involved in arriving at these solutions. d?u 1 du +u = 0 z dz а.) dz?

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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Solution to Bessel and Legendre Equations 1.) Write the two linearly independent solutions of the equations below and show the process involved in arriving at these solutions. d?u 1 du а.) + + u = 0 dz2 z dz d?u du b.) ++ 4xu = 0 dx %3D dx2 d²y 2х dy 3 + х2-1 dx y = 0 с.) dx2 х2-1 2.) Using Matlab, separately plot the solutions mentioned above. Assume arbitrary constants involved in each solution equal to unity. Submit result of sample run and write a short discussion for each graph. In producing the result of sample run, use Publish feature of Matlab and make sure to configure the format of the output, in such a way that it can be edited using Microsoft Word. Make sure to put some comments to some of the important parts of the Matlab Program.
Transcribed Image Text:Solution to Bessel and Legendre Equations 1.) Write the two linearly independent solutions of the equations below and show the process involved in arriving at these solutions. d?u 1 du а.) + + u = 0 dz2 z dz d?u du b.) ++ 4xu = 0 dx %3D dx2 d²y 2х dy 3 + х2-1 dx y = 0 с.) dx2 х2-1 2.) Using Matlab, separately plot the solutions mentioned above. Assume arbitrary constants involved in each solution equal to unity. Submit result of sample run and write a short discussion for each graph. In producing the result of sample run, use Publish feature of Matlab and make sure to configure the format of the output, in such a way that it can be edited using Microsoft Word. Make sure to put some comments to some of the important parts of the Matlab Program.
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