Mathematics · important
Formation of differential equation from family with \(n\) arbitrary constants for JEE
Ordinary differential equations, their order and degree
Formula
\(\text{Differentiate }n\text{ times and eliminate }C_1,C_2,\dots,C_n\)
Variables: \(C_1,C_2,\dots,C_n\) are arbitrary constants.
Conditions: Family must contain \(n\) independent arbitrary constants.
Formation of differential equation from a given family.