exam2

exam2 - Second Midterm November 18th, 2009 NAME (Please...

This preview shows pages 1–5. Sign up to view the full content.

Second Midterm November 18th, 2009 NAME (Please print) Question Score 1 2 3 4 Total points 100 Instructions: 1. Each problem is worth 25 points. 2. No calculators, computers, notes, books are permitted. 3. Do all computations on the examination paper. You may use the backs of the pages if necessary. Make your work readable . 4. To receive full credit put answers inside the boxes (when applicable). 5. Please signify your adherence to the honor code: I, , have neither given nor received aid in completion of this examination. 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
QUESTION 1 Score (25 Points) Find the eigenvalues and eigenfunctions of the self-adjoint boundary problem: X 00 + λX = 0 X (0) - X 0 (0) = 0 X (1) - X 0 (1) = 0 2
QUESTION 1 3

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Score Consider the Laplace equation: u xx + u yy = 0 u ( x, 0) = f ( x ) u ( x, 1) = 0 u (0 ,y ) = 0 u (1 ,y ) = 0 1. (10 points) Write down the boundary problem and the initial value problem that X ( x ) and Y ( y ) have to solve when using the method of separation of variables to ﬁnd the fundamental solutions. 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/17/2010 for the course MATH 108 taught by Professor Trangenstein during the Fall '07 term at Duke.

Page1 / 9

exam2 - Second Midterm November 18th, 2009 NAME (Please...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online