Differential Equations Lecture Work Solutions 152

Differential Equations Lecture Work Solutions 152 - c ux(0...

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c. u x (0 ,t )= A ( t ) u ( L, L )=0 w = ax + b w x (0 ,t )= A ( t )= a a = A ( t ) w ( L, t )=0 = aL + b b = aL b = A ( t ) L w = A ( t ) x A ( t ) L = A ( t )( x L ) w xx =0 w tt = ¨ A ( x L ) v = u w u = v + w v tt c 2 v xx = S ( x, t ) ¨ A ( t )( x L ) ˆ S ( x, t ) v ( x, 0) = f ( x ) A (0)( x L )
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