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Differential Equations question

2005 · Shift 0 · Q86

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PYQ Library
JEE Main
Mathematics
Differential Equations
2005 · Shift 0 · Q86

Differential Equations question

2005 · Shift 0 · Q86

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

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

then the solution of the equation is :

A
$y\log \left( {{x \over y}} \right) = cx$
B
$x\log \left( {{y \over x}} \right) = cy$
C
$\log \left( {{y \over x}} \right) = cx$
D
$\log \left( {{x \over y}} \right) = cy$

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