# exam1W10sol - MATH 216 FIRST MIDTERM EXAM February 15, 2010...

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MATH 216 FIRST MIDTERM EXAM February 15, 2010 Please write your name: ______________ _ Section: ____ _ The test contains 8 problems worth 100 points total. To get the full credit you have to show your work. Problem Points Score 1 12 2 12 3 14 4 12 5 12 6 14 7 12 8 12 Total 100 Typeset by AMS-'IEX 1

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Name: ---------------- (12 points) 1. Problem. Find all solutions y(x) of the differential equation I 2 · y = y smx. I ~ ' - s 'V\ X - - 2. ~ - - V(7)X -t- L j - ~ unx -C' ·- j c 2
Name: ------------------ (12 points) 2. Problem. Match the equations below with their slope fields on the next page. 1. y' = sinx Figure B 2. y' = siny Figure 1 3. y' = yx Figure E: 4. y' = yjx Figure c 5. y' = x2 + y2 Figure 6. y' = y2 _ x2 Figure A 3

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A -1 I I I I I I I 1 1 1 1 I I I I I I I 1- \-1 I I I I I I I I I I I I 1-\ \\-1 I I I I I I I I I I I I 1-\\ \\'\.-/I I I I I I I I I I/-'\.\\ ( ~~\~/~~t~~~;;/~\~~ ( I I \ \ \ ~-/ //// /-~ \ \ \ I I I I \ \ \ "- -. ...... -.-- // .----. ...... "- \ \ \ I I I I 1\\\~-- --~\\\I I I "........ __ --. ...... "-\ c ~'-'\.'\.\\\\1 I IIIII/// ~'-'-'-"-\\\I /IIIII/// ~~~"-'\.\\\\ IIIII//// ''~""-"-\\\ /111///// . . . . _ . . . . _ . . . . _ ~ ~ "- \. .>. ..\\ I I I / / / / // .................................... ~~~~,, II//////-- ___ ....... _,,~'\,\ 1///// ____ __ ------. ...... -....... ~\ /I/// _______ _ --------. ...... ~\1// _______ _ ---------~/--------- ---i!"~-- ---------//l\~-. ...... -~----- --------///1/ \'\,~. ....... _ . . . . . , ___ _ ------////111 1\'\.~. ....... _ . . . . . . . . . _ __ _ .--//////11 I I\\"-~. ....... _........ _........ _........ __ //////Ill I I\\'\."-~""'' /////II I I I I\\\"-"-~~. ....__. ....... _ ////IIIII I I\\\'\.'\."-~~. ....__ ///IIIII I I I I\\\'\.'\."-~~ //IIIII/ I I I I\\\\'\."-"-~ E ------------. ..... -..,.,. ...,. . ...... --. ..... ----------- -------------- 1//////--- ---. ...... ~"~""" IIIII///-- --. ...... ~~'\,\\\\ 111111/// . . . . . """-\\\\\ //IIIII// '"-"-\\\\\\ 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 111111111 -....... '\_\\\\1111 4 ---. ..... ~~~~-. ..... - -- . . . . . ~~~~-. ..... - ---. ..... ~~~~-. ..... - ---. ..... ~~~~-. ..... - --. . . . . ~ ~ ~ ">~-\- __ ,..... __~~~1-- -- . . . . . ~~~~-. ..... - ---. ..... ~~~~-. ..... - ---. ..... ~~~~ . . . . . - ---. ..... ~~~~-. ..... - ---. ...... ~~~~ . . . . .
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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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exam1W10sol - MATH 216 FIRST MIDTERM EXAM February 15, 2010...

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