Let the curve y = y(x) be the solution of the differential equation, dy/dx = 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is (4 8)/3, then the value of y(1) is equal to _ _ _ _ _.

Differential Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q34

JEE Main 202116 Mar, Morning shiftMathematicsMediumDifferential Equations163× since 2002

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

{{dy} \over {dx}}

= 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is

{{4\sqrt 8 } \over 3}

, then the value of y(1) is equal to _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 Differential Equations Question with Answer (16 Mar Morning shift, Q34) | JEE Arc

JEE Main 2021 · 16 Mar, Morning shift · Q34

JEE Main 202116 Mar, Morning shiftMathematicsMediumDifferential Equations163× since 2002

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

{{dy} \over {dx}}

= 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is

{{4\sqrt 8 } \over 3}

, then the value of y(1) is equal to _________.

Your answerType your answer. Integers and decimals are accepted.