Bernoulli equation and substitution z = y^{1-n} (Dividebyy^n,setz=y^{1-n}sodz/dx=(1-n))
jee-mainjee-advanced
Divide by y^n, set z = y^{1-n} so dz/dx = (1-n) y^{-n} dy/dx; equation becomes linear in z.
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Real exponent (n ≠ 1 for nontrivial reduction; n=0,1 are already linear). |
When to use this
Avoid y=0 branch issues when dividing; check singular solutions.