# If y = e-x (A cos x + B sin x), then y is a solution ofA. B. C. D. If y = f(x) is solution of a differential equation then differentiating y = f(x) will give the same differential equation

Let us find the differential equation by differentiating y with respect to x twice

Why twice because all the options have order as 2 and also because there are two constants A and B

y = e-x (A cos x + B sin x)

Differentiating using product rule But e-x (A cos x + B sin x) = y Differentiating again with respect to x  But e-x (A cos x + B sin x) = y Also which means     Rate this question :

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