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(1 pt) Use Laplace transforms to solve the convection problem us + (1 + x )ux = 0, x, 1> 0 u(x, 0) = 0

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(1 pt) Use Laplace transforms to solve the convection problem us + (1 + x )ux = 0, x, 1> 0 u(x, 0) = 0 u(0, t) = 1 u(x, t) = Use the symbol "H" to denote the Heaviside function H(x) = 1 x20 0 x

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