Mathematics · Differential Equations
The second-order partial differential equation (1 - x2)uxx + uyy = 0 is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1parabolic if x = ±1, elliptic if x ∈ (-1, 1), and hyperbolic if x ∈ (-∞, -1) ∪ (1, ∞)✓
- 2elliptic if x = ±1, and parabolic if x ∈ (-1, 1)
- 3hyperbolic if x = ±1, parabolic if x ∈ (-1, 1), and elliptic if x ∈ (-∞, -1) ∪ (1, ∞)
- 4elliptic if x = ±1, and hyperbolic if x ∈ (-∞, -1) ∪ (1, ∞)
Correct answer
parabolic if x = ±1, elliptic if x ∈ (-1, 1), and hyperbolic if x ∈ (-∞, -1) ∪ (1, ∞)
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