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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\[x\sec y\frac{dy}{dx}=1\]is

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

    B)                 \[cx=\sec y+\tan y\]

    C)                 \[cy=\sec x\tan x\] 

    D)                 \[cy=\sec x+\tan x\]

    Correct Answer: B

    Solution :

                       \[x\sec y\frac{dy}{dx}=1\] Þ \[\sec ydy=\frac{dx}{x}\]         On integrating both sides, we get                 \[\log (\sec y+\tan y)=\log x+\log c\]Þ \[\sec y+\tan y=cx\].


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