NCERT Class 12 · Ch 9 Exercise 9.4 · Q17
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.4 Question 17
Which differential equation is homogeneous?
💡 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: D.
- For Mdx+Ndy=0, the coefficients must be homogeneous of the same degree.
- D has y² and x²−xy−y², both of degree 2. A has mixed constants and linear terms; B has degrees 2 and 3; C mixes degrees 3 and 2.
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