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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    The degree of the differential equations \[{{\left[ 5+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{\frac{5}{3}}}={{x}^{5}}\left[ \frac{{{d}^{2}}y}{d{{x}^{2}}} \right]\]is.

    A)  4                            

    B)         2                            

    C)         5                            

    D)         10

    E)  3

    Correct Answer: E

    Solution :

    \[{{\left[ 5+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{5/3}}={{x}^{5}}\left[ \frac{{{d}^{2}}y}{d{{x}^{2}}} \right]\]                           ...(i) \[\Rightarrow \]               \[{{\left[ 5+{{\left( \frac{dy}{dx} \right)}^{2}} \right]}^{5}}={{x}^{15}}{{\left[ \frac{{{d}^{2}}y}{d{{x}^{2}}} \right]}^{3}}\] \[\therefore \]  \[\deg ree=3\]


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