Formation of a differential equation from a primitive (If a family of curves has n independent arbitrary constants)
jee-mainjee-advanced
If a family of curves has n independent arbitrary constants, differentiate n times (or eliminate constants between equations) to obtain a differential equation of order n free of those constants.
What each symbol means
| Symbol | What it stands for |
|---|---|
| n | Number of independent arbitrary constants in the primitive. |
When to use this
Constants must be independent; repeated or disguised constants reduce effective n.