If y = a sin x + b cos x then for what v

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:

If y = a sin x + b cos x then for what value of n, we have \(\frac{d^n y}{dx^n}\) = -y?

Options:

None of the above

Correct Answer:

Explanation:

\(\frac{d^2 y}{dx^2}\) = -a sin x - b cos x = -(a sin x + b cos x) = -y