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Unformatted text preview: Test #3 Math 4038 July 2010 Print Your Name Here: Show all work in the space provided. We can give credit only for what you write! Indicate clearly if you continue on the back side , and write your name at the top of the scratch sheet if you will turn it in for grading. No books or notes are allowed . A scientific calculator is allowedbut it is not needed. If you use a calculator, you must still write out the operations performed on the calculator to show that you know how to solve the problem and did not just guess or remember the answer. Please do not replace precise answers with decimal approximations. There are four (4) problems: Maximum total score = 100. 1. Find the eigenvalues and the corresponding eigenfunctions for the Sturm-Liouville problem on the interval [0 , ] given by the differential equation y 00 + y = 0 with the boundary conditions y (0) = 0 = y ( ) . 1 Test #3 Math 4038 July 2010 2. Consider the (hyperbolic) equation 2 u xx + 3 u xy + u yy = 0 (1) a . (10) Find all values of for which there exists a solution to (1) of the form u ( x, y...
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This note was uploaded on 01/06/2012 for the course MATH 4038 taught by Professor Staff during the Summer '08 term at LSU.
- Summer '08