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JCECE Engineering JCECE Engineering Solved Paper-2010

  • question_answer
    The order and. degree of the differential equation\[{{\left( 1+3\frac{dy}{dx} \right)}^{2/3}}=4\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)\]are

    A) \[1,\,\,\frac{2}{3}\]                                        

    B) \[3,\,\,1\]

    C) \[3,\,\,3\]                                           

    D) \[1,\,\,2\]

    Correct Answer: C

    Solution :

    We have, the differential equation                 \[{{\left( 1+3\frac{dy}{dx} \right)}^{2/3}}=4\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)\] \[\Rightarrow \]               \[{{\left( 1+3\frac{dy}{dx} \right)}^{2}}=64{{\left( \frac{{{d}^{3}}y}{d{{x}^{3}}} \right)}^{3}}\] Clearly, this is the differential .equation of order \[3\] and degree\[3\].


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