Abstract

Some heuristics that suggest substitutions for solving differential equations of first order and first degree are presented. The test results with these heuristics show that ‘satisfying’ heuristics can be developed for this type of differential equations. Moreover, test results show that a program utilizing the basic elementary solution methods and a comparatively small set of such heuristics is able to solve most of the elementarily solvable differential equations of first order and first degree, which are collected in the textbooks of Kamke and Murphy.

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