JEE Main 202116 Mar, Evening shiftMathematicsEasyDifferential Equations163× since 2002If y = y(x) is the solution of the differential equation dydx{{dy} \over {dx}}dxdy + (tan x) y = sin x, 0≤x≤π30 \le x \le {\pi \over 3}0≤x≤3π, with y(0) = 0, then y(π4)y\left( {{\pi \over 4}} \right)y(4π) equal to :AOption A. 12{1 \over 2}21log_e 2BOption B. (122)\left( {{1 \over {2\sqrt 2 }}} \right)(221) log_e 2COption C. log_e 2DOption D. 14{1 \over 4}41 log_e 2CheckSkip · show solution