Mathematics · Differential Equations
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 at y = 2 and the line x = 2 intersects the curve at y = α, then a value of α is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 11 + 3e22(3e2 - 1)✓
- 21 - 3e22(3e2 + 1)
- 33e22(3e2 + 1)
- 43e22(3e2 - 1)
Correct answer
1 + 3e22(3e2 - 1)
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