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Differential Equations question

2025 · 7 Apr · Shift 2 · Q27

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JEE Main
Mathematics
Differential Equations
2025 · 7 Apr · Shift 2 · Q27

Differential Equations question

2025 · 7 Apr · Shift 2 · Q27

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Let y = y(x) be the solution of the differential equation

(x^2 + 1)y' - 2xy = (x^4 + 2x^2 + 1)\cos x

,

y(0) = 1

. Then

\int\limits_{-3}^{3} y(x) \, dx

is :

A
36
B
24
C
18
D
30

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