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The differential equation for y = A cos αx + B sin αx, where A and B are arbitrary constants is

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The differential equation for y = A cos αx + B sin αx, where A and B are arbitrary constants is

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Correct option is (B).

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

Why twice because we have to eliminate two constants A and B

y = A cos αx + B sin αx

Differentiating

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