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Class 12 Differential Equations · Mcq Single Correct1 Marksintegrating_factors

Class 12 Maths · Differential Equations · Mcq Single Correct #18

Find a real integrating factor of (1 − x²)y′ − xy = 1, for |x| < 1.

✅ Step-by-Step Solution

Final Answer: Option (C): √(1 − x²)
  1. P = −x/(1 − x²), so IF = exp(½ln(1 − x²)) = √(1 − x²).

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