Differential Equations Lecture Work Solutions 173

Differential Equations Lecture Work Solutions 173 - 4a. y +...

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4a. y 0 + λy =0 0 <x<π y 0 (0) = 0 y ( π )=0 λ n = n + 1 2 ± 2 cos( n + 1 2 ) x To get orthonormal set, we need to divide by the normalization factor, || y n || = s Z π 0 cos 2 ( n + 1 2 ) xdx = ² π/ 2 The normalized eigenfunctions are cos( n + 1 2 ) x ² π/ 2 4b. y 0 +(1+ λ ) y =0 0 <x<π
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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