CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    If\[{{c}_{1}},{{c}_{2}},{{c}_{3}},{{c}_{4}},{{c}_{5}}\]and\[{{c}_{6}}\]are constants, then the order of the differential equation whose general solution is given by \[y={{c}_{1}}cos\]\[(x+{{c}_{2}})+{{c}_{3}}\sin (x+{{c}_{4}})+{{c}_{5}}{{e}^{x}}+{{c}_{6}}\]

    A)  6                                            

    B)  5

    C)  4                            

    D)         3

    E)  2

    Correct Answer: D

    Solution :

    Given equation is \[y={{c}_{1}}\cos (x+{{c}_{2}})+{{c}_{3}}\sin \left( x+{{c}_{4}} \right)+{{c}_{5}}{{e}^{x}}+{{c}_{6}}\] From this equation it is clear that the order of differential equation whose solution in this equation is 3.


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