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Differential Equations question

2022 · 29 Jul · Shift 2 · Q30

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JEE Main
Mathematics
Differential Equations
2022 · 29 Jul · Shift 2 · Q30

Differential Equations question

2022 · 29 Jul · Shift 2 · Q30

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let

y=y(x)

be the solution curve of the differential equation

\frac{d y}{d x}+\left(\frac{2 x^{2}+11 x+13}{x^{3}+6 x^{2}+11 x+6}\right) y=\frac{(x+3)}{x+1}, x\gt -1

, which passes through the point

(0,1)

. Then

y(1)

is equal to :

A
$\frac{1}{2}$
B
$\frac{3}{2}$
C
$\frac{5}{2}$
D
$\frac{7}{2}$

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