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NCERT Class 12 · Ch 9 Exercise 9.1 · Q7

NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.1 Question 7

Determine order and degree of y‴+2y″+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: Order 3; degree 1
  1. The highest derivative appearing is of order 3.
  2. The equation is polynomial in its derivatives; the highest-order derivative has exponent 1. The powers of lower derivatives do not determine the degree.

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