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Differential Equations question

2016 · Shift 1 · Q23

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JEE Advanced
Mathematics
Differential Equations
2016 · Shift 1 · Q23

Differential Equations question

2016 · Shift 1 · Q23

JEE AdvancedMathematicsDifferential EquationsMultiple correct+4 / −2

A solution curve of the differential equation

\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,

x\gt 0,

passes through the point

(1,3)

. Then the solution curve

A
intersects $y=x+2$ exactly at one point
B
intersects $y=x+2$ exactly at two points
C
intersects $y = {\left( {x + 2} \right)^2}$
D
does NOT intersect $\,y = {\left( {x + 3} \right)^2}$

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