Chem Differential Eq HW Solutions Fall 2011 100

Chem Differential Eq HW Solutions Fall 2011 100 - data. j 1...

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100 Chapter 6 Sturm-Liouville Theory with Engineering Applications A six-term approximation of the solution is u ( x, t ) 6 ± j =1 . 04 α 3 j J 1 ( α j ) J 0 ² α j 2 x ³ cos ² ´ 2 g α j 2 t ³ . At this point, we use Mathematica (or your favorite computer system) to approxi- mate the numerical values of the coefficients. Here is a table of relevant numerical
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Unformatted text preview: data. j 1 2 3 4 5 6 j 2 . 40483 5 . 52008 8 . 65373 11 . 7915 14 . 9309 18 . 0711 j . 847231 1 . 94475 3 . 04875 4 . 15421 5 . 26023 6 . 36652 A j . 005540-. 000699 . 000227-. 000105 . 000058-. 000036 Table 1 Numerical data for Exercise 1....
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