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NCERT Class 12 · Ch 9 Exercise 9.1 · Q11

NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.1 Question 11

Find the degree of (y″)³+(y′)²+sin(y′)+1=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: D: not defined.
  1. The term sin(y′) is not polynomial in the derivatives.
  2. The exponent 3 on y″ does not define a degree when the polynomial requirement fails.

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