NCERT Class 12 · Ch 9 Exercise 9.2 · Q8
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.2 Question 8
Verify y−cos y=x; (y sin y+cos y+x)y′=y.
💡 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.
- Differentiate the curve: (1+sin y)y′=1.
- Using x=y−cos y, the coefficient in the ODE becomes y(1+sin y). Multiplication by y gives the required equation wherever the curve has a finite derivative.
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