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NCERT Class 12 · Ch 9 Exercise 9.2 · Q1

NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.2 Question 1

Verify y=\(e^{x} + 1\) solves y″−y′=0.

💡 Concept Hints

  1. Identify the domain and the inner and outer functions, or the relevant one-sided limits.
  2. 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.
  1. Differentiate the proposed function: y′=\(e^{x}\).
  2. Also y″=\(e^{x}\).
  3. Substitution into the equation leaves \(0\); hence it is satisfied.

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