Class 12 Continuity And Differentiability · Mcq Single Correct1 Markssecond_derivatives
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #21
For y=sin(m arcsin x), |x|<1 and constant m, which identity holds?
✅ Step-by-Step Solution
Final Answer: Option (B): (1−x²)y″−xy′+m²y=0
- First √(1−x²)y′=m cos(m arcsin x). Differentiating and multiplying by √(1−x²) gives (1−x²)y″−xy′=−m²y.
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