Abstract
The matrix exponential technique is a method for solving linear, simultaneous constant-coefficient, differential equations. The method does not require matrix inversions, but rather the summing of a truncated exponential series. The matrix form of this method makes it particularly well-suited to the matrix-handling methods of APL. The essential portion of the APL program contains only fourteen APL statements; thus it can be readily programmed. The combination of matrix exponential method and the APL language provides a fast and accurate interactive means for solving this class of ordinary differential equations.
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