Proceed as in Example 4 in Section 11.3 to find a particular solution xp(t)...

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Accounting

Proceed as in Example 4 in Section 11.3 to find a particular solution

xp(t)

of equation (11) in Section 11.3

m

d2x
dt2

+ kx = f(t) (11)

when

m =

1
2

, k = 16,

and the driving force

f(t)

is as given. Assume that when

f(t)

is extended to the negative t-axis in a periodic manner, the resulting function is even.

f(t) = 2t t2,

0 < t < 2;

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