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If y=2 sin x+3cos x, show that (d^2y)/...

If `y=2 sin x+3cos x`, show that `(d^2y)/(dx^2)+y=0`

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Given `y = 2sinx + 3cosx`

` ⇒ dy/dx = 2cos x – 3sinx`

`= (d^2y)/(dx^2) = – 2sinx – 3cosx`

`= (d^2y)/(dx^2) = – (2sinx + 3cosx) `

`= –y = (d^2y)/(dx^2) = 0`

`(d^2y)/(dx^2)+y=0`
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