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JEE Main & Advanced Mathematics Differential Equations Question Bank Order and degree of differential equations

  • question_answer
    The order of the differential equation whose solution is \[y=a\cos x+b\sin x+c{{e}^{-x}}\]is

    A)                 3             

    B)                 2

    C)                 1             

    D)                 None of these

    Correct Answer: A

    Solution :

                    \[y=a\cos x+b\sin x+c{{e}^{-x}}\]is a three parameter family of curves, so its differential equation is third order differential equation.


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