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Using computer-aid approach to solve algebraic problems. Questions with this tag should typically include at least one other tag indicating what sort of algebraic problem is involved, such as ac.commutative-algebra or rt.representation-theory or ag.algebraic-geometry.

4 votes

Is every parametric function family, expressed as an elemetary function, a solution to an OD...

Any elementary function solves an algebraic differential equation, i.e. where $F$ is a polynomial of its variables. I think you can find the result in: Eliakim Hastings Moore, "Concerning transcendent …
Loïc Teyssier's user avatar