Abstract
Dr. C. N Srinivasiengar, in his published papers (7, 8, 9 and 10), and Dr. W E. Deming, in a private letter, gave examples of differential equations for which the so-called complete primitives are not really complete, and yet the supplementary solutions are not singular solutions in the envelope sense. In the ensuing correspondence I expanded a remark of E. B. Wilson (11) “It may happen that the arbitrary constant C enters into the expression F(x, y, C) = 0 in such a way that when C becomes positively infinite (or negatively infinite) the curve F(x, y, C) = 0 approaches a definite limiting position which is a solution of the differential equation, such solutions are called infinite solutions.”
Publisher
Cambridge University Press (CUP)
Reference11 articles.
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