Kindly answer the B and C parts. A. Determine the solution of a one dimensional and damped linear oscillating system to

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Kindly answer the B and C parts.
A. Determine the solution of a one dimensional and damped linear
oscillating system to a spike impulse. A spike impulse means that
the interval of the impulse τ→0 while the amplitude A→∞ but their
product Aτ is finite and a constant. Let the natural frequency of
oscillation be ω0 and the damping parameter is β.
B. Now, any arbitrary function can be represented as a series of
impulses, therefore construct the inhomogeneous part of the
solution using a Green's function where the Green's function is
basically solution to part A (multiplied with some constant).
C. Using Green's function method, find the solution of the
inhomogeneous part of x(t) for a driving force given as F(t) = A
exp(-bt) operating between 0 and t.