ExamfinalW10 - MATH 216 FINAL EXAM 4 points Please write your name Section The test contains 8 problems worth 100 points total To get the full

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MATH 216 FINAL EXAM April 23, 2010 Please write your name: 4po ints Section: The test contains 8 problems worth 100 points total. To get the full credit you have to show your work . Page 12 contains a table of useful Laplace transforms. 12 Problem Points Score 12 1 2 3 12 4 12 5 12 6 7 12 Total 8 12 12 Typeset by A M S -T E X
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Name: ( 12 points ) 1. Problem. Find the solution x ( t ) ,y ( t )tothesystemo fd i±erent ia l equations x ± =3 x - 2 y y ± =4 x - y satisfying the initial conditions x (0) = 1 and y
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Name: ( 12 points ) 2. Problem. Find all critical points of the system of di±erential equations for functions x ( t )and y ( t )be lowanddeterm inethe irstab i l ity x ± = xy - 3 x y ± = x +
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Name: ( 12 points ) 3. Problem. Match the systems of diFerential equations for functions x ( t )and y ( t )be loww iththe ird irect ion±e ldsonthenextpage . 1) x ± = y y ± = x ²igure 2) x ± = x +2 y y ± = - 2 x + y ²igure 3) x ± = - y y ± = x ²igure 4) x ± =3 x + y y ± = x +3 y ²igure 5) x ± = - x +2 y y ± = - 2 x - y ²igure 6) x ± = - 3 x + y y ± =
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This note was uploaded on 01/30/2012 for the course MATH 216 taught by Professor Stenstones? during the Fall '07 term at University of Michigan.

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ExamfinalW10 - MATH 216 FINAL EXAM 4 points Please write your name Section The test contains 8 problems worth 100 points total To get the full

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