Let y = y(x) be the solution of the differential equation dy/dx = (y + 1)((y + 1)e^(x²/2) - x), 0 < x < 2.1, with y(2) = 0. Then the value of dy/dx at x = 1 is equal to:

Differential Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q3531

JEE Main 202118 Mar, Evening shiftMathematicsMediumDifferential Equations163× since 2002

Let y = y(x) be the solution of the differential equation

{{dy} \over {dx}} = (y + 1)\left( {(y + 1){e^{{x^2}/2}} - x} \right)

, 0 < x < 2.1, with y(2) = 0. Then the value of

{{dy} \over {dx}}

at x = 1 is equal to :

JEE Main 2021 · 18 Mar, Evening shift · Q3531

JEE Main 202118 Mar, Evening shiftMathematicsMediumDifferential Equations163× since 2002

Let y = y(x) be the solution of the differential equation

{{dy} \over {dx}} = (y + 1)\left( {(y + 1){e^{{x^2}/2}} - x} \right)

, 0 < x < 2.1, with y(2) = 0. Then the value of

{{dy} \over {dx}}

at x = 1 is equal to :