# Test1 - Math 306 Test 1 Printed Name Please carefully work...

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Math 306 – Test 1 Printed Name: Please carefully work all of the following problem(s). You must SHOW YOUR WORK to receive ANY credit! The Printed Name question is worth 5 points. H indicates a “By Hand” problem where technology is not allowed. T indicates a “Technology” problem where you a58a58a58a58 may use Mathematica or a calculator. You must still show the steps taken. For example, integraldisplay 5 1 (1 - x ) 7 dx = - 8 , 192 is valid. Giving the answer - 8 , 192 without the integral is not. Do not use DSolve or NDSolve unless otherwise directed (except for checking your work). 1 Find general solutions for differential equations and explicit solutions for initial value problems. H A 7 pts 2 xy + y = 10 x H B 7 pts dy dx = ye x , y (0) = 2 e . T C 7 pts dy dx = 10 x 2 + 1 , y (0) = 0. Dr. Emmert Spring 2010 I of IV Points Earned of 21

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Math 306 – Test 1 H 2 7 pts Verify that the differential equation cos( x ) + ln( y ) + parenleftbigg x y + e y parenrightbigg dy dx = 0 is exact and then solve it.
• Spring '11
• KeithEmmert
• Math, Trigraph, pts, Dr. Emmert, Dr. Emmert Spring

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