homework6 - 4 u 4 u t u tt-4 u xx = 0 u x 0 = x u t x 0 = 1...

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Problem 1 Solve the initial value problem for the nite interval: u tt - u xx = 0 , u x (0 ,t ) = u x ( π,t ) = 0 , 0 < x < π, u ( x, 0) = 1 , u t ( x, 0) = 1 . Problem 2 Solve the initial value problem on the line:
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Unformatted text preview: 4 u + 4 u t + u tt-4 u xx = 0 , u ( x, 0) = x, u t ( x, 0) = 1 . 1...
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