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If cos x and sin x are solutions of the differential equation `a_(0)(d^(2)y)/(dx^(2))+a_(1)(dy)/(dx)+a_(2)y=0`, where `a_(0),a_(1),a_(2)` are real constants then which of the following is/are always true?

A

A cos x + B sin x is a solution, where A and B are real constants.

B

`Acos(x+(pi)/(4))` is a solution, where A is real constant.

C

A cos x sin x is a solution, where A is real constant.

D

`Acos(x+(pi)/(4))+Bsin(pi-(pi)/(4))` is a solution, where A and B are real constants.

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