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9. Using the property f(t)8(t) = f(0)8(t) to simplify h(t) before we differentiate it to

obtain h(t), solve for the constants in h(t) = (A₁et + A₂te¹)u(t) assuming that h(t)

satisfies the differential equation,

h(t) + 2h(t) + h(t) = 28(t) + 8(t)

Fig: 1