Engineering Mathematics Homework 3

# Engineering Mathematics Homework 3 - Gkalp Grsel 503091141...

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Gökalp Gürsel 503091141 ENGINEERING MATHEMATICS HOMEWORK 3 Roots of bessel functions: 1. Roots of bessel function I 0 Matlab code: clear all clc besseli0 = inline( 'besseli(0,x)' ); for n=1:25 z(n)=fzero(besseli0,n); end disp(z) Results: Columns 1 through 16 NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN NaN Columns 17 through 25 NaN NaN NaN NaN NaN NaN NaN NaN NaN Bessel function I 0 doesn’t have any roots. Graph of I 0 :

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Gökalp Gürsel 503091141 2. Roots of bessel function I 1 Matlab code: clear all clc besseli1 = inline( 'besseli(1,x)' ); for n=1:25 z(n)=fzero(besseli1,n); end disp(z) Results: 1.0e-015 * Columns 1 through 9 -0.0000 -0.0229 -0.1672 -0.0000 -0.0000 -0.0006 -0.0000 -0.0000 -0.0005 Columns 10 through 18 0.1754 -0.1753 -0.0000 -0.0001 -0.0145 -0.0000 -0.0000 -0.0000 -0.0000 Columns 19 through 25 -0.0000 -0.0626 0.0000 0.0000 0.0001 0.0102 0.0000 Graph of I 1 :
Gökalp Gürsel 503091141 3. Roots of bessel function J 0 Matlab code: clear all clc besselj0 = inline( 'besselj(0,x)'

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Engineering Mathematics Homework 3 - Gkalp Grsel 503091141...

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