Mathematics · essential
Substitution for 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
\(y=vx\)
Variables: \(v\) is a function of \(x\).
Conditions: Used when DE is homogeneous in \(y/x\).
Standard substitution to reduce a homogeneous DE to separable form.