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Question 370003
JEE Mathematics · Medium

Differential Equations: Variable separable MCQ

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Variable separableMediumQuestion 370003

Question

For dy/dx = (1+y²)/(1+x²), the solution is:
  1. A
    tan⁻¹y = tan⁻¹x + C
    Correct
  2. B
    y = x + C
  3. C
    y² = x² + C
  4. D
    y/(1+y²) = x/(1+x²)

Correct answer

tan⁻¹y = tan⁻¹x + C

Explanation

Separate: dy/(1+y²) = dx/(1+x²). Integrate both sides: tan⁻¹y = tan⁻¹x + C.

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