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09-02-2024
Mathematics

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Let y=y(x) be a solution curve of the differential equation.
(1−x²y²)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=α then a value of α is
A. 3e²/2(3e²+1)
B. 3e²/2(3e²−1)
C. 1+3e²/2(3e²+1)
D. 1−3e²/2(3e²+1)

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