If z c (t) is a general solution to the complementary equation and zp(t) is a particular

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If zc(t) is a general solution to the complementary equation and zp(t) is a particular solution to the inhomogeneous equation, show that z+ zpis a solution to the inhomogeneous equation of Eq. (12.59).

d z + f2(t)- dt3 d?z dz + fi(t) (12.59) = g(t), f3(t)- dt2 dt

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