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Differential Equations question

2025 · 23 Jan · Shift 1 · Q26

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JEE Main
Mathematics
Differential Equations
2025 · 23 Jan · Shift 1 · Q26

Differential Equations question

2025 · 23 Jan · Shift 1 · Q26

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let a curve

y=f(x)

pass through the points

(0,5)

and

\left(\log _e 2, k\right)

. If the curve satisfies the differential equation

2(3+y) e^{2 x} d x-\left(7+e^{2 x}\right) d y=0

, then

k

is equal to

A
32
B
8
C
4
D
16

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