Mathematics · essential
General solution pattern of 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
\[\int \frac{dv}{F(v)-v}=\int \frac{dx}{x}+C\]
Variables: \(v=y/x\), \(C\) is an arbitrary constant.
Conditions: After substitution \(y=vx\).
Direct integration in homogeneous DE problems.