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Differential Equations Lecture Work Solutions 135

Differential Equations Lecture Work Solutions 135 - d wx(0...

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d. w x (0 , t ) = 0 w x ( L, t ) = 1 Try w = A ( t ) x 2 + B ( t ) x as in 1c w x = 2 A ( t ) x + B ( t ) 0 = B ( t ) 1 = 2 A ( t ) L + B ( t ) =0 A ( t ) = 1 2 L w = 1 2 L x 2 w tt = 0 w xx = 1 L v = u + w v tt c 2 v xx + 1 L =
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