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137 lines
1.2 KiB
137 lines
1.2 KiB
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Exercise 3.78: Consider the problem of designing
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a signal-processing system to study the homogeneous second-order linear
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differential equation
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d
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2
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y
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d
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t
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2
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−
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a
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d
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y
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d
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t
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−
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b
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y
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=
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0.
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The output stream, modeling
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y
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, is generated by a network that contains a
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loop. This is because the value of
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d
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2
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y
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/
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d
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t
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2
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depends upon the
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values of
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y
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and
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d
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y
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/
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d
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t
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and both of these are determined by
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integrating
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d
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2
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y
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/
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d
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t
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2
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. The diagram we would like to encode is
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shown in Figure 3.35. Write a procedure solve-2nd that takes as
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arguments the constants
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a
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,
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b
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, and
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d
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t
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and the initial values
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y
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0
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and
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d
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y
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0
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for
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y
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and
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d
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y
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/
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d
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t
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and generates the
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stream of successive values of
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y
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.
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