Solve-2nd procedure
Figure 3.35: Signal-flow diagram for the solution to a second-order linear differential equation.
Consider the problem of designing a signal-processing system to study the homogeneous second-order linear differential equation
The output stream, modeling
y
, is generated by a network that contains a loop. This is because the value of
d²y/dt²
depends upon the values of
y
and
dy/dt
and both of these are determined by integrating
d²y/dt²
. The diagram we would like to encode is shown in figure 3.35. Write a procedure
solve-2nd
that takes as arguments the constants
a
,
b
, and
dt
and the initial values
y₀
and
dy₀
for
y
and
dy/dt
and generates the stream of successive values of
y
.