Mathematics · important
Formation of differential equation from family with one arbitrary constant for JEE
Ordinary differential equations, their order and degree
Formula
\(\text{Differentiate once and eliminate the constant}\)
Variables: If family is \(\phi(x,y,C)=0\), eliminate \(C\) using the equation and its derivative.
Conditions: Family contains one arbitrary constant.
Questions on forming a DE from a given family of curves.