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Differential Equations question

2021 · 17 Mar · Shift 1 · Q26

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JEE Main
Mathematics
Differential Equations
2021 · 17 Mar · Shift 1 · Q26

Differential Equations question

2021 · 17 Mar · Shift 1 · Q26

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

Which of the following is true for y(x) that satisfies the differential equation

{{dy} \over {dx}}

= xy

-

1 + x

-

y; y(0) = 0 :

A
y(1) = 1
B
y(1) = e $-{1 \over 2}-$ 1
C
y(1) = e ${1 \over 2}-$ e $-{1 \over 2}$
D
y(1) = e ${1 \over 2}-$ 1

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