Mathematics · Partial Differential Equations
Which of the following partial differential equations is NOT parabolic for all x, y ∈ ℝ?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1x2∂2u∂x2 - 2xy∂2u∂x∂y + y2∂2u∂y2 + x∂u∂x + y∂u∂y = 0
- 2x2∂2u∂x2 + 2xy∂2u∂x∂y + y2∂2u∂y2 = 0
- 3x2∂2u∂x2 - 2xy∂2u∂x∂y + y2∂2u∂y2 = 0
- 4x2∂2u∂x∂y - 2xy∂u∂y + y2 = 0✓
Correct answer
x2∂2u∂x∂y - 2xy∂u∂y + y2 = 0
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