General methods are developed for the analysis of linear and non‐linear networks by the use of the block pulse functions, which are related to the Walsh functions by a linear transformation. For both cases, piecewise‐constant solutions are obtained. For the time‐varying systems, the piecewise‐constant solutions are obtained by the solution of a set of recurrence linear algebraic equations. For the nonlinear systems, a set of recurrence nonlinear algebraic equations has to be computed successively. Illustrative examples are accompanied by the exact or numerical solutions for comparison.