# Math Methods 2

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- Created by: Anita
- Created on: 07-05-15 19:23

W | X | O | H | A | J | C | P | X | K | Y | I | B | D | T | Q | V | U | J | G | C |

N | I | I | G | O | R | H | D | K | G | M | G | P | V | K | D | B | A | Q | P | R |

X | N | G | T | B | J | G | S | S | S | G | P | F | Y | A | U | B | X | O | H | J |

Y | M | O | D | E | U | Y | I | Y | T | G | I | W | D | P | D | D | A | F | V | M |

G | Y | E | E | K | M | S | N | B | Q | Y | X | E | W | K | T | T | T | U | M | C |

I | X | T | L | P | A | I | V | F | G | L | X | G | N | B | L | F | L | F | P | B |

B | V | P | S | F | M | M | A | C | U | I | T | O | V | F | A | P | E | O | M | X |

D | Y | F | Q | V | P | N | X | G | F | A | W | L | K | S | P | C | D | N | V | K |

K | X | A | P | M | I | H | B | R | X | W | X | O | R | Q | L | X | F | A | I | Q |

S | N | P | G | F | Q | N | O | C | F | O | O | R | X | L | A | U | N | I | E | P |

Y | Y | J | F | N | A | F | Y | D | U | F | K | V | K | O | C | X | A | C | X | J |

U | X | R | S | X | A | C | E | U | C | E | J | T | L | K | I | Y | I | A | U | H |

F | G | S | R | X | H | S | I | H | U | Y | E | L | L | B | A | F | C | L | O | K |

R | A | H | N | W | C | W | M | V | X | F | J | D | T | N | N | W | A | P | A | K |

E | I | X | N | J | K | U | K | N | E | C | E | F | A | Y | U | A | L | A | Q | B |

V | A | X | J | J | I | K | M | S | B | S | D | X | F | R | A | X | P | L | Y | N |

N | O | U | J | D | F | D | Z | X | U | X | C | C | O | N | S | T | A | N | T | J |

B | A | D | S | C | G | W | P | G | O | U | W | I | S | M | L | P | L | H | N | E |

M | I | S | P | J | A | V | L | J | Q | S | C | P | N | G | O | V | D | M | K | X |

F | U | X | I | C | A | K | T | P | A | G | W | X | X | R | O | T | R | A | H | C |

W | S | A | E | V | L | W | K | P | N | D | B | W | V | L | K | X | I | H | U | P |

### Clues

- If F(x,y,z)=F(x,z) what is the EL equation? (8, 8)
- State the alternative vanishing lemma (3)
- State the Mean value property for harmonic functions (3)
- What is a Green's function for the Dirichlet problem? (5, 4)
- What is Poisson's equation? (9, 2, 1, 1)
- What is the fundamental solution of Laplace's equation? (9, 1, 6, 1)
- What is the Heat equation? (13, 1)
- What is the shifted Newtonian potential? (5, 1, 3, 5, 1)
- What is the solution of the Dirichlet problem? (3)
- What is the solution to the Cauchy problem? (3)

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