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Differential Equations question

2021 · 27 Jul · Shift 1 · Q33

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JEE Main
Mathematics
Differential Equations
2021 · 27 Jul · Shift 1 · Q33

Differential Equations question

2021 · 27 Jul · Shift 1 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

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

{\log _{}}\left( {{{dy} \over {dx}}} \right) = 3x + 4y

, with y(0) = 0. If

y\left( { - {2 \over 3}{{\log }_e}2} \right) = \alpha {\log _e}2

, then the value of

\alpha

is equal to :

A
$- {1 \over 4}$
B
${1 \over 4}$
C
$2$
D
$- {1 \over 2}$

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