Mathematics · essential
Derivative under substitution \(y=vx\) for JEE
Solution of a homogeneous and linear differential equation of the type dy/dx + p(x)y = q(x)
Formula
\(\dfrac{dy}{dx}=v+x\dfrac{dv}{dx}\)
Variables: \(v=v(x)\).
Conditions: Follows from product rule after setting \(y=vx\).
Reduction of homogeneous equations to separable form.