3.5.4. Streams and Delayed Evaluation
Exercise 3.78

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.

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