If y = A cos(nx) + B sin(nx),then frac{d^2y}{ | vedclass

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(C) Given $y = A \cos(nx) + B \sin(nx)$.Differentiating with respect to $x$:$\frac{dy}{dx} = -nA \sin(nx) + nB \cos(nx)$.Differentiating again with re

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$-n^2y$

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(C) Given $y = A \cos(nx) + B \sin(nx)$.Differentiating with respect to $x$:$\frac{dy}{dx} = -nA \sin(nx) + nB \cos(nx)$.Differentiating again with respect to $x$:$\frac{d^2y}{dx^2} = -n^2A \cos(nx) - n^2B \sin(nx)$.Factoring out $-n^2$:$\frac{d^2y}{dx^2} = -n^2(A \cos(nx) + B \sin(nx))$.Since $y = A \cos(nx) + B \sin(nx)$,we substitute $y$ back into the equation:$\frac{d^2y}{dx^2} = -n^2y$.

If $y = A \cos(nx) + B \sin(nx)$,then $\frac{d^2y}{dx^2} = $

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