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One of numerous available methods is described for synthesizing a network to have a specified transient response, with emphasis placed on the actual procedure of solution. This method, which is based upon the use of orthogonal exponential functions, is carried out prin- cipally by time-domain rather than the more common frequency- domain operations. It enjoys a broader applicability than most other solutions to the transient synthesis problem, each of which suffers from one or more of several disadvantages: lack of control over the approximation error in time; severe mathematical complexity; net- works with many more circuit elements than are necessary; or net- works conveniently realizable only in a fixed form (e.g., lossless lat- tices, resistance-capacitance chains, networks without parasitic ca- pacitance, etc.). Several examples are presented.