Prefer a chat interface with context about you and your work?
Solutions of first order differential equations which are solutions of linear differential equations of higher order
Let 5f be an ordinary differential field (i.e., a field with a given derivation) of characteristic zero. An element z belonging to a differential field extension of 5f is said to be of order r over 5f if the lowest order irreducible differential equation with coefficients in 5f that z …