Mathematics · essential
General solution of linear first-order DE for JEE
Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x)
Formula
\[y\,e^{\int p(x)dx}=\int q(x)e^{\int p(x)dx}\,dx + C\]
Variables: \(C\) is an arbitrary constant.
Conditions: Applicable to \(\dfrac{dy}{dx}+p(x)y=q(x)\).
Final standard result for solving linear equations by integrating factor.