Q) If 𝑥=𝑓(𝑦) is the solution of the differential equation(1+𝑦^2 )+(𝑥−2𝑒^(tan^(−1) 𝑦) )

Описание: JEE MAIN 2025 ( 22 Jan - shift 2 )

Q) If 𝑥=𝑓(𝑦) is the solution of
the differential equation
(1+𝑦^2 )+(𝑥−2𝑒^(tan^(−1) 𝑦) ) 𝑑𝑦/𝑑𝑥=0,
. 𝑦∈(−𝜋/2,𝜋/2)with 𝑓(0)=1,
then 𝑓(1/√3) is equal to

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