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JEE Main & Advanced Mathematics Differential Equations Question Bank Variable Separable type differential equations

  • question_answer
    The solution of the differential equation \[\frac{dy}{dx}=\sec x(\sec x+\tan x)\]is

    A)                 \[y=\sec x+\tan x+c\]          

    B)                 \[y=\sec x+\cot x+c\]

    C)                 \[y=\sec x-\tan x+c\]            

    D)                 None of these

    Correct Answer: A

    Solution :

                       \[\frac{dy}{dx}=\sec x(\sec x+\tan x)\] Þ \[\frac{dy}{dx}={{\sec }^{2}}x+\sec x\tan x\]                                 Now integrating both sides, we get \[y=\tan x+\sec x+c\].


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