CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2002

  • question_answer
    Which of the following functions is a solution of the differential equation\[{{\left( \frac{dy}{dx} \right)}^{2}}-x\left( \frac{dy}{dx} \right)+y=0\]

    A) \[y=2x-4\]                          

    B)  \[y=2{{x}^{2}}-4\]

    C)  \[y=2\]               

    D) \[y=2x\]

    Correct Answer: A

    Solution :

    \[y=2x-4\Rightarrow \frac{dy}{dx}=2\] \[{{2}^{2}}-2x+2x-4\Rightarrow 4-2x+2x-4=0\]


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