exam1F09sol - MATH 216 FIRST MIDTERM EXAM October 12, 2009...

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Unformatted text preview: MATH 216 FIRST MIDTERM EXAM October 12, 2009 Please write your name: -------------- Section: ----- The test contains 7 problems worth 100 points total. To get the full credit you have to show your work. Problems 1 2 3 4 5 6 7 Points 15 12 15 15 15 16 12 Score Typeset by AMS- TEX 1 Name: ____________ __ (15 points) 1. Problem. Find all solutions of the differential equation y' = xy2. j - ,__, --... }2_ dy __./ xdx 2.__ j l X c - ___.,.. -r ) 2 'L.. X c --- j 2 2 Name: ------------------ ( 12 points) 2. Problem. Match the equations below with their slope fields on the next page. 1. y' = x2 Figure f 2. y' = y2 Figure c _./ 3. y' = y- X Figure C:. 4. y' =X+ y Figure ~ 5. y' = x2 + y2 Figure A 6. y' = x2 _ y2 Figure B 3 c I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I 11111111111111111111 11111111111111111111 I I I I I I iYI LJ I I I I I I I I I I I I I I I I I ~V I I I I I I I I I I I //////////////////// //////////////////// ~~~~~~~~~//~~~~~~~~ //////////////////// I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I 11111111111111111111 11111111111111111111 I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I I E I I I I I I I I I I I I I I I / / /-- 1 I I I I I I I I I I I I I / / /--- 1 I I 111/11111////---' 111111/llll//// ___ ,, 1111/IILJI//// ___ ,,, 111/IIN~VI/// ___ ,,,, 11111111//// ___ ,,,,, II IIIII////...
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This note was uploaded on 02/08/2012 for the course MATH 216 taught by Professor Gavinlarose during the Winter '02 term at University of Michigan-Dearborn.

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exam1F09sol - MATH 216 FIRST MIDTERM EXAM October 12, 2009...

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