Show that `y=x sin x` is a solution of the differential equation `(d^(2)y)/(Dx^(2))+y-2cosx=0`.

Explanation

To show that \( y = x \sin x \) is a solution of the differential equation

\[ \frac{d^2y}{dx^2} + y - 2\cos x = 0, \]

we will follow these steps:

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