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JEE Advance - Mathematics (2003 - No. 6)

If $$y(t)$$ is a solution of $$\left( {1 + t} \right){{dy} \over {dt}} - ty = 1$$ and $$y\left( 0 \right) = - 1,$$ then $$y(1)$$ is equal to
$$ - 1/2$$
$$e+1/2$$
$$e-1/2$$
$$ 1/2$$

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