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Solve x + x = t^ 3 u ( t 1) for initial conditions x (0) = 1 and x (0) = 0 , x (0) = 0 .
Solve x′′′ + x = t^3u(t − 1) for initial conditions x(0) = 1 and x′(0) = 0, x′′(0) = 0.