Question

The initial value problem y''' - y" + y' - y = 0, y(0) = 1,...

The initial value problem
y''' - y" + y' - y = 0, y(0) = 1, y'(0) = -1, y''(0) = 3

is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem.

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