Mathematics · important
Separable equation with factorable denominator for JEE
The solution of differential equation by the method of separation of variables
Formula
\(\dfrac{dy}{dx}=\dfrac{f(x)}{g(y)}\Rightarrow g(y)\,dy=f(x)\,dx\)
Variables: \(f(x)\), \(g(y)\) are single-variable functions.
Conditions: Equation should already be in directly separable quotient form.
Quick rearrangement in standard JEE problems.