Answer: y = Ce x.
- A y = Cx
- B y = Ce<sup>x</sup>
- C y = e<sup>x</sup>
- D y = C + e<sup>x</sup>
Correct answer: B. y = Ce<sup>x</sup>
Explanation: Separate: dy/y = dx. ln|y| = x + const. y = Ce<sup>x.</sup>
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