The differential equation of all circles centered at the origin is:
The differential equation of all circles centered at the origin is:
- A. x dx + y dy = 0
- B. x dy − y dx = 0
- C. x dx − y dy = 0
- D. x dy + y dx = 0
Answer: A) x dx + y dy = 0
Explanation: Equation of circles centered at origin is x² + y² = r². Differentiating w.r.t x gives 2x + 2y(dy/dx) = 0, which simplifies to x dx + y dy = 0.
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