Differential Equations Lecture Work Solutions 133

Differential Equations Lecture Work Solutions 133 - c. wx...

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c. w x (0 ,t )= t w x ( L, t t 2 try w = A ( t ) x + B w x = A ( t )a n d w e c a n n o t satisfy the 2 conditions. try w = A ( t ) x 2 + B ( t ) x w x =2 A ( t ) x + B ( t ) t = w x (0 B ( t ) t 2 = w x ( L, t )=2 A ( t ) L + B ( t ) | {z } = t A ( t t 2 t 2 L w = t 2 t 2 L x 2 + tx w t = 2 t 1 2 L x 2 + x w xx = t 2 t L v t + 2 t 1 2 L x 2 + x = k ( v xx + t 2 t L )+ x v t = kv xx 2 t 1 2 L x 2 x + k t 2
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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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