NCERT Class 12 · Ch 9 Exercise 9.4 · Q16
NCERT Class 12 Maths · Chapter 9 Differential Equations · Exercise 9.4 Question 16
To solve dx/dy=h(x/y), which substitution is appropriate?
💡 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: C: x=vy.
- Use the dependent-to-independent ratio v=x/y.
- Set x=vy; then dx/dy=v+y dv/dy and separation becomes possible.
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