NCERT Class 12 · Ch 9 Exercise 9.1 · Q6
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.1 Question 6
Determine order and degree of (y‴)²+(y″)³+(y′)⁴+y⁵=0.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: Order 3; degree 2
- The highest derivative appearing is of order 3.
- The equation is polynomial in its derivatives; the highest-order derivative has exponent 2. The powers of lower derivatives do not determine the degree.
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