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This paper presents four techniques convenient for use in the evaluation of the transient response of networks. Each of these formulated methods may be programmed easily to produce the transient response of a network with the occurance of each sampled value of the input. Two of these methods are obtained through approximations of the convolution integral, and the other two are obtained through the representation of the input in the form of a sum of step functions. Several illustrative examples are given at relatively low sampling rates. With all of the techniques, the accuracy in the evaluation of the transient response is dependent upon the sampling rate.