Answer: y = kx + C.
- A y = kx
- B y = kx + C
- C y = k
- D y = x + k
Correct answer: B. y = kx + C
Explanation: Integrate: y = kx + C. Straight line with slope k.
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