JEE Main & Advanced Mathematics Differential Equations Question Bank Linear defferential equations

  • question_answer
    Which of the following equation is non-linear

    A)                 \[\frac{dy}{dx}+\frac{y}{x}=\log x\]

    B)                 \[y\frac{dy}{dx}+4x=0\]

    C)                 \[dx+dy=0\]         

    D)                 \[\frac{dy}{dx}=\cos x\]

    Correct Answer: B

    Solution :

                       A differential equation in which the dependent variable and its differential coefficient occur only in the first degree and are not multiplied together is called a linear differential equation.                                 Hence \[y\frac{dy}{dx}+4x=0\]is non-linear differential equation.


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