We can find y(x) using inverse Laplace transform for each part and then use the property of linearity: L-1[1/(s-1)] = exp(x) L-1[1/(s-1)2] = x exp(x) Thus, y(x) = L-1[Y(s)] = 2 exp(x) + x exp(x) = (x+2) exp(x)
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