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Class 12 Differential Equations · Conceptual Answer1 Markshomogeneous_functions

Class 12 Maths · Differential Equations · Conceptual Answer #28

For what n is y′ = (x³ − yⁿ)/(x²y + xy²) a homogeneous equation?

✅ Step-by-Step Solution

Final Answer: n = 3
  1. The denominator has degree 3; the numerator must also have degree 3, making the quotient degree 0.
  2. n = 3

📋 CBSE Stepwise Marking Scheme

  • [0.5 marks] The denominator has degree 3; the numerator must also have degree 3, making the quotient degree 0.
  • [0.5 marks] n = 3

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