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Differential Equations question

2023 · 11 Apr · Shift 2 · Q34

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JEE Main
Mathematics
Differential Equations
2023 · 11 Apr · Shift 2 · Q34

Differential Equations question

2023 · 11 Apr · Shift 2 · Q34

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution of the differential equation

\frac{d y}{d x}+\frac{5}{x\left(x^{5}+1\right)} y=\frac{\left(x^{5}+1\right)^{2}}{x^{7}}, x \gt 0

. If

y(1)=2

, then

y(2)

is equal to :

A
$\frac{693}{128}$
B
$\frac{697}{128}$
C
$\frac{637}{128}$
D
$\frac{679}{128}$

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