Mathematics · important
Solution for power-law separable form when \(n\neq 1\) for JEE
The solution of differential equation by the method of separation of variables
Formula
\[\int y^{-n}dy=\int f(x)dx\Rightarrow \frac{y^{1-n}}{1-n}=\int f(x)dx+C\]
Variables: \(n\neq 1\), \(C\) is an arbitrary constant.
Conditions: Requires \(n\neq 1\).
Bernoulli-like separable special cases and direct integration problems.