Problem #6: Let f(t) = { 4 0 < t < ? -4 ? < t < 2? and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. 9 d^2x/dt^2 + 5x = f(t) Find a particular solution of the above differential equation of the form x_p(t) = ?_{n=1}^? A_n cos(n? t / p) = ?_{n=1}^? g(t,n) and enter the function g(t,n) into the answer box below.
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