Y- A cos nx - B sin nx Prove that d2ydx2 - n2y -0-

y = A cos nx + B sin nx dydx= An( sin nx)+Bn (cos nx) d^2ydx^2= n^2A cos nx+n^2B ( sin x) = n^2( A cos nx+ B sin nx) d^2ydx^ ...

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Higher Order Derivatives

y= A cos nx +...

Question

$y = A cos n x + B sin n x$
Prove that $\frac{d^{2} y}{{d x}^{2}} + n^{2} y = 0$ .

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