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Differential Equations question

2022 · 26 Jun · Shift 2 · Q33

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JEE Main
Mathematics
Differential Equations
2022 · 26 Jun · Shift 2 · Q33

Differential Equations question

2022 · 26 Jun · Shift 2 · Q33

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If the solution of the differential equation

{{dy} \over {dx}} + {e^x}\left( {{x^2} - 2} \right)y = \left( {{x^2} - 2x} \right)\left( {{x^2} - 2} \right){e^{2x}}

satisfies

y(0) = 0

, then the value of y(2) is

\underline{\hspace{2cm}}

.

A
$-$ 1
B
1
C
0
D
e

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