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NCERT Class 12 · Ch 9 Exercise 9.2 · Q11

NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.2 Question 11

How many arbitrary constants occur in the general solution of a fourth-order differential equation?

💡 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: D: 4.
  1. A general solution of an equation of order n has n independent arbitrary constants in the usual regular setting.
  2. For n=4, choose 4.

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