could you explain the differences and the similarities between
undetermined coefficients method and annihilator method? also,
could you please solve an example step by step to explain how the
annihilator method works?
Consider the following differential equation to be solved by the
method of undetermined coefficients.
y'' + 6y =
−294x2e6x
Find the complementary function for the differential
equation.
yc(x)
=
Find the particular solution for the differential equation.
yp(x)
=
Find the general solution for the differential equation.
y(x) =
Use method of undetermined coefficients to find a particular
solution of the differential equation ?′′ + 9? = cos3? + 2. Check
that the obtained particular solution satisfies the differential
equation.