Mathematics · essential
Solution of linear homogeneous first-order DE for JEE
Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x)
Formula
\(y=Ce^{-\int p(x)dx}\)
Variables: \(C\) is an arbitrary constant.
Conditions: Obtained from either separation or integrating factor.
Frequently tested direct result for homogeneous linear first-order equations.