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Differential Equations question

2021 · 22 Jul · Shift 2 · Q46

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JEE Main
Mathematics
Differential Equations
2021 · 22 Jul · Shift 2 · Q46

Differential Equations question

2021 · 22 Jul · Shift 2 · Q46

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

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

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

, y(1) = 1. If the domain of y = y(x) is an open interval (

\alpha

,

\beta

), then |

\alpha

+

\beta

| is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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