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Differential Equations question

2021 · 27 Jul · Shift 2 · Q41

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JEE Main
Mathematics
Differential Equations
2021 · 27 Jul · Shift 2 · Q41

Differential Equations question

2021 · 27 Jul · Shift 2 · Q41

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

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

\alpha

x + y dx;

\alpha\in

N. If y(loge2) = loge2 and y(0) = loge

\left( {{1 \over 2}} \right)

, then the value of

\alpha

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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