Unformatted text preview: ral solution is
2. A fundamental set for
is
. Then the matrix equation . Let
and implies and hence
and
. Now
. Since
is a homogeneous solution we can write the general solution as
. On the other hand, the incomplete partial fraction
method gives
that a particular solution is
.
3. The functions . From this we see
. The general solution is and
form a fundamental set. Let
. Then the matrix equation
implies that and . Hence,
and
. From this
we get
. On the other hand, the
method of undetermined coeﬃcients implies that a particular solution is
of the form
. Substitution gives
and hence
.
It follows that
. Furthermore, the general solution is...
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 Fall '08
 BELL,D
 Complex number, general solution

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