NCERT Class 12 · Ch 9 Exercise 9.2 · Q7
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.2 Question 7
Verify xy=log y+C; y′=y²/(1−xy), xy≠1.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: Verified where a differentiable y(x) branch exists.
- The real log requires y>0. Implicit differentiation gives y+xy′=y′/y.
- Collect terms: (1−xy)y′=y²; divide when xy≠1.
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