Mathematics · Complex Analysis
In which of the following options is the function u(x, y) harmonic (i.e., satisfies Laplace's equation ∂2u/∂x2 + ∂2u/∂y2 = 0)?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1u = 2xy + 3xy2 - 2y3
- 2u = e-2xy sin(x2 - y2)
- 3u = x cos(y) - y sin(y)✓
- 4u = 3x2y + 2x2 + y3 - 2y2
Correct answer
u = x cos(y) - y sin(y)
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