Answer: ey = ex + C.
- A ey = ex + C
- B e−y = ex + C
- C y = ex + C
- D ey = e−x + C
Correct answer: A. ey = ex + C
Explanation: Separating: ey dy = ex dx, integrating gives ey = ex + C.
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