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Differential Equations question

2008 · Shift 0 · Q35

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PYQ Library
JEE Main
Mathematics
Differential Equations
2008 · Shift 0 · Q35

Differential Equations question

2008 · Shift 0 · Q35

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The solution of the differential equation

{{dy} \over {dx}} = {{x + y} \over x}

satisfying the condition

y(1)=1

is :

A
$y = \ln x + x$
B
$y = x\ln x + {x^2}$
C
$y = x{e^{\left( {x - 1} \right)}}\,$
D
$y = x\,\ln x + x$

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