Answer: 1 arbitrary constant.
- A No constants
- B 1 arbitrary constant
- C 2 arbitrary constants
- D Only x terms
Correct answer: B. 1 arbitrary constant
Explanation: First-order DE general solution has 1 arbitrary constant (from one integration).
The general solution y=Ax² represents an entire FAMILY of curves, one for each value of the arbitrary constant A; a particular solution (fixed by an initial condition) selects exactly one curve from this family.
Concept context
Equations involving derivatives and their solutions