Question: 1. Solve the boundary-value problem au ax = ax x=0 x>0, >0 at' =-100, lim u(x, t) = 0, t>0 418 u(x, 0)

$1. Solve the boundary-value problem au ax = ax \ x=0 x>0,$

1. Solve the boundary-value problem au ax = ax \ x=0 x>0, >0 at' =-100, lim u(x, t) = 0, t>0 418 u(x, 0) = 0, x>0 using the Laplace transform. Give two different forms of t solution u(x, t).

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