Answer: dy/dx = y/x.
- A dy/dx = y/x
- B dy/dx = x/y
- C dy/dx = x
- D dy/dx = 1
Correct answer: A. dy/dx = y/x
Explanation: From y = mx, m = y/x, and dy/dx = m, so dy/dx = y/x.
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