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If y= A sin x+ B cos x, then prove that ...

If `y= A sin x+ B cos x`, then prove that `(d^2y)/(dx^2)+y=0`.

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To prove that \(\frac{d^2y}{dx^2} + y = 0\) for the function \(y = A \sin x + B \cos x\), we will follow these steps: ### Step 1: Differentiate \(y\) to find \(\frac{dy}{dx}\) Given: \[ y = A \sin x + B \cos x \] ...
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