Let y=y(x) be a solution curve of the differential equation (1-x^2y^2)dx=ydx+xdy. If the line x=1

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Let y=y(x) be a solution curve of the differential equation (1-x^2y^2)dx=ydx+xdy. If the line x=1 intersects the curve y=y(x) at y=2 and the line x=2 intersects the curve y=y(x) at y=a, then the value of a is:
A. 1+3e^2/2(3e^2-1)
B. 3e^2/2(3e^2-1)
C. 1-3e^2/2(3e^2+1)
D. 3e^2/2(3e^2+1)
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