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Differential Equations question

2016 · Shift 0 · Q25

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PYQ Library
JEE Main
Mathematics
Differential Equations
2016 · Shift 0 · Q25

Differential Equations question

2016 · Shift 0 · Q25

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If a curve

y=f(x)

passes through the point

(1,-1)

and satisfies the differential equation,

y(1+xy) dx=xdy

, then

f\left( { - {1 \over 2}} \right)

is equal to :

A
${2 \over 5}$
B
${4 \over 5}$
C
$-{2 \over 5}$
D
$-{4 \over 5}$

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