# Final - M427K FINAL EXAM SPRING 2009 Dr Schurle Your name...

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Unformatted text preview: M427K FINAL EXAM SPRING, 2009 Dr. Schurle Your name: Your UTEID: Show all your work on these pages. If you use your calculator, say so. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . ... THE EXAM HAS 13 PROBLEMS. 1. (6 points) Sketch a graph of the solution of the initial value problem y = ( y- 2) 3 (5- y ) , y (0) = 4 and describe its behavior as t → ∞ . YOUR SCORE: /100 2. (8 points) Find the solution of the following initial value problem in explicit form. y = y ( t- 1) 2 , y (2) = 1 3. (12 points) Find the general solution of the following differential equations. (a) ty- 3 y = t 4 cos 3 t (b) 4 y 00- 12 y + 9 y = 0 (c) y 00 + 14 y + 85 y = 0 4. (7 points) A 500 liter tank initially is full of water in which 800 grams of dye are dissolved. Fresh water runs in at 20 liters per minute and the well-stirred mix runs out at the same rate. How long must this flushing process run before there are just 8out at the same rate....
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## This note was uploaded on 01/27/2012 for the course MATH 427 k taught by Professor Goddard during the Fall '10 term at University of Texas.

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Final - M427K FINAL EXAM SPRING 2009 Dr Schurle Your name...

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