Class 12 Continuity And Differentiability · Short Answer2 Markssecond_derivatives
Class 12 Maths · Continuity And Differentiability · Short Answer #118
For y=5cos x−3sin x, prove y″+y=0.
✅ Step-by-Step Solution
Final Answer: y″+y=0
- First y′=−5sin x−3cos x.
- Differentiate again: y″=−5cos x+3sin x=−y.
- Thus y″+y=0.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] First y′=−5sin x−3cos x.
- [1 mark] Differentiate again: y″=−5cos x+3sin x=−y.
- [0.5 marks] Thus y″+y=0.
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