Geng Xiang-ping
Abstract
A solution of the real analytic differential equation x=f(t, x) may not be analytic. Any solution of the real algebraic differential equation x= p(t, x) must be analytic. This paper indicates a misunderstanding on the restriction of a complex differential equation to a real differential equation.
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A solution of the real analytic differential equation x=f(t, x) may not be analytic. Any solution of the real algebraic differential equation x= p(t, x) must be analytic. This paper indicates a misunderstanding on the restriction of a complex differential equation to a real differential equation.
Key concepts: Bernoulli differential equation, Universal differential equation, Algebraic differential equation, Mathematics, Exact differential equation, Differential equation, First-order partial differential equation, Riccati equation