The general solution of the differential equation dy/dx = 1 / (1 + x²) is:
The general solution of the differential equation dy/dx = 1 / (1 + x²) is:
- A. y = tan⁻¹x + C
- B. y = sin⁻¹x + C
- C. y = cos⁻¹x + C
- D. y = log(1+x²) + C
Answer: A) y = tan⁻¹x + C
Explanation: dy = dx / (1 + x²). Integrating both sides gives y = tan⁻¹x + C.
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