NCERT Class 12 · Ch 5 Exercise 5.7 · Q11
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.7 Question 11
If y=5cos x−3sin x, prove y″+y=0.
💡 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: y″+y=0.
- y′=−5sin x−3cos x.
- y″=−5cos x+3sin x=−y, giving the identity.
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