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Differential Equations question

2013 · Shift 1 · Q36

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JEE Advanced
Mathematics
Differential Equations
2013 · Shift 1 · Q36

Differential Equations question

2013 · Shift 1 · Q36

JEE AdvancedMathematicsDifferential EquationsMCQ+4 / −1

A curve passes through the point

\left( {1,{\pi \over 6}} \right)

. Let the slope of the curve at each point

(x,y)

be

{y \over x} + \sec \left( {{y \over x}} \right),x \gt 0.

Then the equation of the curve is

A
$sin\left( {{y \over x}} \right) = \log x + {1 \over 2}$
B
$cos\,ec\left( {{y \over x}} \right) = \log x + 2$
C
$\,s\,ec\left( {{{2y} \over x}} \right) = \log x + 2\,$
D
$\,cos\left( {{{2y} \over x}} \right) = \log x + {1 \over 2}$

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