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**Unformatted text preview: **/ gataﬂou; MATH 412: Problem Set 7
due Tuesday, April 15, 2008 1. Strauss 5.4 #5 — Step function and convergence
2. Strauss 6.1 #4 — Leplace’s equation in a. spherical shell 3. Strauss 6.1 #6 — Laplace’s equation in a ring
— (HINT: transform to polar coordinates) 4. Strauss 6.2 #3 — Harmonic function in a square
5. Strauss 10.1 #2 - Wave equation in a rectangle 6. Strauss 10.1 #4(a) - positive eigenvalues
- (HINT: use the Divergence Thus on p.423, with f 2 Wu, and multiply by v.) 7> [/f/Fxltw’gj +C+é£r LC; u[LX:_ O :1 £72 QR
7+ "é/Zﬁt #? ...

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