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Class 12 Differential Equations · Conceptual Answer1 Marksintegrating_factors

Class 12 Maths · Differential Equations · Conceptual Answer #88

Find an integrating factor of x ln x · y′ + y = 2ln x.

✅ Step-by-Step Solution

Final Answer: ln x, x > 0, x ≠ 1.
  1. Divide by x ln x. Then P = 1/(x ln x); IF is proportional to exp(ln|ln x|). A convenient signed factor is ln x.
  2. ln x, x > 0, x ≠ 1.

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] Divide by x ln x. Then P = 1/(x ln x); IF is proportional to exp(ln|ln x|). A convenient signed factor is ln x.
  • [0.5 marks] ln x, x > 0, x ≠ 1.

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