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JEE Main & Advanced Mathematics Differential Equations Question Bank Formation of differential equations

  • question_answer
    Differential equation whose solution is \[y=cx+c-{{c}^{3}}\], is [MP PET 1997]

    A)                 \[\frac{dy}{dx}=c\]              

    B)                 \[y=x\frac{dy}{dx}+\frac{dy}{dx}-{{\left( \frac{dy}{dx} \right)}^{3}}\]

    C)                 \[\frac{dy}{dx}=c-3{{c}^{2}}\]      

    D)                 None of these

    Correct Answer: B

    Solution :

                       Differentiating, we have \[\frac{dy}{dx}=c\]                                 Hence differential equation is, \[y=x\frac{dy}{dx}+\frac{dy}{dx}-{{\left( \frac{dy}{dx} \right)}^{3}}\].


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