Mathematics · Partial Differential Equations
The partial differential equation y3 ∂2u∂x2 - (x2 + 1) ∂2u∂y2 = 0 is:
- 1parabolic in {(x, y) : x > 0}
- 2elliptic in the entire ℝ2
- 3hyperbolic in {(x, y) : y > 0}✓
- 4parabolic in {(x, y) : x < 0}
Correct answer
hyperbolic in {(x, y) : y > 0}
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