If y = y(x) is the solution of the differential equation, e^(y)(dy/dx - 1) = eˣ such that y(0) = 0, then y(1) is equal to:

Differential Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Morning shift · Q3603

JEE Main 20207 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If y = y(x) is the solution of the differential equation,

{e^y}\left( {{{dy} \over {dx}} - 1} \right) = {e^x}

such that y(0) = 0, then y(1) is equal to:

JEE Main 2020 · 7 Jan, Morning shift · Q3603

JEE Main 20207 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

If y = y(x) is the solution of the differential equation,

{e^y}\left( {{{dy} \over {dx}} - 1} \right) = {e^x}

such that y(0) = 0, then y(1) is equal to: