Mathematics · essential
Explicit 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
\[y=e^{-\int p(x)dx}\left(\int q(x)e^{\int p(x)dx}\,dx + C\right)\]
Variables: \(C\) is an arbitrary constant.
Conditions: Equivalent explicit form of the standard linear solution.
Writing final answer directly in solved form for \(y\).