Form the differential equation by eliminating the arbitrary constant from the equation `y = a cos x + b sin x + x sin x`

Options

A. `(d^(2)y)/(dx^(2)) + y = 3 cos x`
B. `(d^(2) y)/(dx^(2)) + 2y = 2 cos x`
C. `(d^(2) y)/(dx^(2)) + y = 2 cos x`
D. `(d^(2) y)/(dx^(3)) - y = 2 cos x`

Answer

C