Solutions of algebraic differential equations
Copyright policy )Solutions of algebraic differential equations
This paper may be considered as a mathematical essay on the question “What is a solution of an algebraic differential equation?” Many theorems in differential algebra are proved by differentiating an algebraic differential equation several times, and then eliminating certain quantities, say, by the use of resultants. We give the simplest example of this, that every C” solution of an ADE satisfies some autonomous ADE. For let P(x, Y> = 0,
- University of Illinois at Urbana Champaign United States
- University of Illinois System United States
Abstract differential equations, Nonlinear differential equations in abstract spaces, ADE, effective solution, algebraic differential equations, Cn solutions, Analysis
Abstract differential equations, Nonlinear differential equations in abstract spaces, ADE, effective solution, algebraic differential equations, Cn solutions, Analysis
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