NCERT Class 12 · Ch 9 Exercise 9.2 · Q4
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.2 Question 4
Verify y=\(\sqrt{x^{2} + 1}\) solves y′=xy/(1+x²).
💡 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 on the stated real domain.
- Differentiate the proposed function: y′=\(\frac{x}{\sqrt{x^{2} + 1}}\).
- Substitution into the equation leaves \(0\); hence it is satisfied.
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