# Test2 - Math 306 Test 2 Printed Name: Please carefully work...

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Math 306 – Test 2 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 aaaa may use Mathematica or a calculator. You must still show the steps taken. For example, i 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). T 1 11 pts Show that y 1 ( x ) = e 2 x and y 2 ( x ) = e 3 x are linearly independent. H 2 11 pts [2] Solve initial value problem, y ′′ ( x ) + 5 y ( x ) + 6 y ( x ) = 0 where y (0) = - 1, y (0) = 3. Dr. Emmert Spring 2010 I of III Points Earned of 22

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Math 306 – Test 2 H 3 11 pts [2] Find the general solution for the di±erential equation x ′′ ( t ) + 2 x ( t ) + x ( t
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## This note was uploaded on 01/16/2012 for the course MATH 306 taught by Professor Keithemmert during the Spring '11 term at Tarleton.

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Test2 - Math 306 Test 2 Printed Name: Please carefully work...

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