👉 In mathematics, a sympetalae is an algebraic expression that involves a variable and its derivative. It is a type of polynomial that can be simplified by using the rules for the derivatives of basic functions such as sin(x), cos(x), tan(x), etc., to express it in terms of simpler expressions. Sympetalae are often used in functional equations, where they represent solutions to differential equations or systems of differential equations. For example, consider the function f(x) = x^2
