Answer: y = Cex.
- A y = Cx
- B y = Cex
- C y = ex
- D y = C + ex
Correct answer: B. y = Cex
Explanation: Separate: dy/y = dx. ln|y| = x + const. y = Cex.
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