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Differential Equations question

2024 · 27 Jan · Shift 1 · Q52

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JEE Main
Mathematics
Differential Equations
2024 · 27 Jan · Shift 1 · Q52

Differential Equations question

2024 · 27 Jan · Shift 1 · Q52

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

If the solution of the differential equation

(2 x+3 y-2) \mathrm{d} x+(4 x+6 y-7) \mathrm{d} y=0, y(0)=3

, is

\alpha x+\beta y+3 \log _e|2 x+3 y-\gamma|=6

, then

\alpha+2 \beta+3 \gamma

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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