Mathematics · important
Power-law separable form for JEE
The solution of differential equation by the method of separation of variables
Formula
\(\dfrac{dy}{dx}=f(x)y^n\Rightarrow y^{-n}dy=f(x)dx\)
Variables: \(n\) is a real constant.
Conditions: For \(n\neq 1\), integrate power form directly; for \(n=1\), use logarithmic form.
Common first-order separable equations.