Find the general solution of the differential equation x dy + y dx = 0.
Find the general solution of the differential equation x dy + y dx = 0.
- A. x + y = C
- B. x² + y² = C
- C. xy = C
- D. x/y = C
Answer: C) xy = C
Explanation: x dy = −y dx → dy/y = −dx/x. Integrating gives log y = −log x + log C → log(xy) = log C → xy = C.
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