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Differential Equations question

2024 · 9 Apr · Shift 1 · Q46

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JEE Main
Mathematics
Differential Equations
2024 · 9 Apr · Shift 1 · Q46

Differential Equations question

2024 · 9 Apr · Shift 1 · Q46

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

The solution curve, of the differential equation

2 y \frac{\mathrm{d} y}{\mathrm{~d} x}+3=5 \frac{\mathrm{d} y}{\mathrm{~d} x}

, passing through the point

(0,1)

is a conic, whose vertex lies on the line :

A
$2 x+3 y=-9$
B
$2 x+3 y=-6$
C
$2 x+3 y=9$
D
$2 x+3 y=6$

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