Section 78: Determining particular integrals of constant coefficient equations

We will discuss in detail the determination of particular integrals for the non-

homogeneous linear constant coefficient second order equation

d2y

dx2 a

dy

dx byf (x),

for the case in which f(x) is a polynomial, an exponential function, a sine or

cosine function or a combination of such functions. The methods generalize

immediately to higher order constant coefficient equations.