Example
9.19. Solve
with
.
![[Graphics:Images/ZTransformDEMod_gr_402.gif]](../Images/ZTransformDEMod_gr_402.gif)
Explore Solution 9.19.
It is worthwhile to point out how Mathematica can do the important step using residues.
![[Graphics:../Images/ZTransformDEMod_gr_418.gif]](../Images/ZTransformDEMod_gr_418.gif)
To solve
with
, we
will use our Mathematica subroutine
for
finding the solution to
. It
will take the z-transforms of each term; solve
for
; and
it's inverse
. The
format of the subroutine call is
with
.
![[Graphics:../Images/ZTransformDEMod_gr_428.gif]](../Images/ZTransformDEMod_gr_428.gif)
![[Graphics:../Images/ZTransformDEMod_gr_429.gif]](../Images/ZTransformDEMod_gr_429.gif)
![[Graphics:../Images/ZTransformDEMod_gr_431.gif]](../Images/ZTransformDEMod_gr_431.gif)
![[Graphics:../Images/ZTransformDEMod_gr_432.gif]](../Images/ZTransformDEMod_gr_432.gif)
![[Graphics:../Images/ZTransformDEMod_gr_433.gif]](../Images/ZTransformDEMod_gr_433.gif)
![[Graphics:../Images/ZTransformDEMod_gr_434.gif]](../Images/ZTransformDEMod_gr_434.gif)
To solve
with
, we
will use our Mathematica subroutine
for
finding the solution to
. It
will take the z-transforms of each term; solve
for
; and
it's inverse
. The
format of the subroutine call is
with
.
![[Graphics:../Images/ZTransformDEMod_gr_444.gif]](../Images/ZTransformDEMod_gr_444.gif)
![[Graphics:../Images/ZTransformDEMod_gr_445.gif]](../Images/ZTransformDEMod_gr_445.gif)