Let y = y(x) be the solution of the differential equation \(\rm (1+x^2)\frac{dy}{dx}+y=e^{\tan^{-1}x}, y(1)=0\) Then y(0) is
1
\(\rm \frac{1}{4}(e^{\pi/2}-1)\)
2
\(\rm \frac{1}{2}(1-e^{\pi/2})\)
3
\(\rm \frac{1}{4}(1-e^{\pi/2})\)
4
\(\rm \frac{1}{2}(e^{\pi/2}-1)\)
5
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