The solution curve, of the differential equation 2 y (d y)/(~d x)+3=5 (d y)/(~d x), passing through the point (0,1) is a conic, whose vertex lies on the line:

Differential Equations: JEE Main 2024 Mathematics question

JEE Main 2024 · 9 Apr, Morning shift · Q3568

JEE Main 20249 Apr, Morning shiftMathematicsMediumDifferential Equations163× since 2002

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 :

JEE Main 2024 · 9 Apr, Morning shift · Q3568

JEE Main 20249 Apr, Morning shiftMathematicsMediumDifferential Equations163× since 2002

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 :