JEE Main 202117 Mar, Morning shiftMathematicsEasyDifferential Equations163× since 2002Which of the following is true for y(x) that satisfies the differential equation dydx{{dy} \over {dx}}dxdy = xy −-− 1 + x −-− y; y(0) = 0 :AOption A. y(1) = 1BOption B. y(1) = e^−-−12{1 \over 2}21 −-− 1COption C. y(1) = e^12{1 \over 2}21 −-− e^−-−12{1 \over 2}21DOption D. y(1) = e^12{1 \over 2}21 −-− 1CheckSkip · show solution
