The number of arbitrary constants in the general solution of a differential equation of third order is:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 3
The general solution of a differential equation of order n contains exactly n arbitrary constants. Each order of the derivative calls for one integration, and each integration brings in one constant.
For a differential equation of third order, n = 3, so the general solution has 3 arbitrary constants.
NCERT (2026-27 edition):
Differential Equations
