Multiple Choice Questions on The differential equation of minimum order by eliminating the arbitrary constants A and C ........... for NDA Exam Preparation

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Multiple Choice Questions

The differential equation of minimum order by eliminating the arbitrary constants A and C ...........

Mathematics (NDA) Differential Equations
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    The differential equation of minimum order by eliminating the arbitrary constants A and C in the equation y = A[sin(x + c)+ cos(x + c)] is -

    y"+ (sin x +cos x)y′ = 1

    Incorrect Answer

    y" = (sin x +cos x)y′ 

    Incorrect Answer

    y" = (y′)2 +sin x cos x

    Incorrect Answer

    y"+ y = 0

    Correct Answer
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    Explanation:

    y = A [sin(x+c) + cos(x+c)]

    y’ = A [cos(x+c) – sin(x+c)]

    y’’ = -A [sin(x+c) + cos(x+c)] = -y

    or y’’ + y = 0

    By: Yachna
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