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Class 12 Differential Equations · Mcq Single Correct1 Marksorder_and_degree

Class 12 Maths · Differential Equations · Mcq Single Correct #11

Find the degree of [1 + (y′)²]^(3/2) = y″ after clearing the radical.

✅ Step-by-Step Solution

Final Answer: Option (D): 2
  1. Squaring gives (y″)² = [1 + (y′)²]³, so degree 2. The original equation also requires y″ ≥ 0.

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