cooke_test3 - Ben Cooke Math 107 Test 3 Do not open this...

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Ben Cooke Math 107 Test 3 Do not open this test booklet until you are directed to do so. You have 50 minutes to earn 100 points. This exam is closed book. You are not allowed to use a calculator. Show your work, as partial credit will be given. Do not spend too much time on any one problem. Read them all through first and attack them in the order that allows you to make the most progress. Sign the affirmation of the Duke community standard after you complete the test and before you turn it in. Problem Points Grade Name - 1 20 2 20 3 20 4 20 5 10 6 10 Total 100 Name: 1
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Ben Cooke Math 107 1. (20 points) Find a general solution to the following differential equation. y ′′′ - 6 y ′′ = x 2
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Ben Cooke Math 107 2. (20 points) Find a general solution to the following differential equation using variation of parameters. y ′′ - 4 y + 5 y = e x - 5 e 5 x 3
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Ben Cooke Math 107 3. (20 points) A 2-kg mass stretches a spring 1m. This mass is hung vertically on the spring and then a shock absorber is attached that exerts a resistance of 14 kg/sec to motion. The
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