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Differential Equations question

2015 · Shift 0 · Q28

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PYQ Library
JEE Main
Mathematics
Differential Equations
2015 · Shift 0 · Q28

Differential Equations question

2015 · Shift 0 · Q28

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y(x)

be the solution of the differential equation

\left( {x\,\log x} \right){{dy} \over {dx}} + y = 2x\,\log x,\left( {x \ge 1} \right).

Then

y(e)

is equal to :

A
$2$
B
$2e$
C
$e$
D
$0$

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