The solution of dy/dx = −y/x is a family of:
The solution of dy/dx = −y/x is a family of:
- A. Circles
- B. Straight lines
- C. Rectangular hyperbolas
- D. Parabolas
Answer: C) Rectangular hyperbolas
Explanation: dy/y = −dx/x. Integrating yields log y = −log x + log C → xy = C, which is the equation of rectangular hyperbolas.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.