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NCERT Class 12 · Ch 9 Exercise 9.2 · Q12

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

How many arbitrary constants occur in a particular solution of a third-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: 0.
  1. A particular solution fixes the arbitrary constants using the given data.
  2. There are no remaining arbitrary constants, irrespective of the original order.

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