Practice_exam1 - 3 days. Initially it covers 1% of the...

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MA 262 Practice Exam I Name: PUID: Section: SHOW ALL YOUR WORK. NO CALCULATORS, BOOKS, OR PAPERS ARE ALLOWED. Points awarded 1. (12 points) 2. (10 points) 3. (12 points) 4. (10 points) 5. (10 points) 6. (12 points) 7. (10 points) 8. (12 points) 9. (12 points) Total Points: 1
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1. (12 points) Solve the initial value problem dy dx = xy x - 1 , y (0) = 1 . 2. (10 points) Find the general solution of x dy dx - 4 y = x 5 . 3. (12 points) Solve the following initial value problem. You may leave your solution in implicit form. y 2 - xy xy 2 dx + ( x y 2 + 2 y ) dy = 0 , y (1) = 2 . 4. (10 points) Find the general solution of x 2 y = xy + x x 2 - y 2 . 2
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5. (10 points) Find the general solution of y + y = e x y 2 . 6. (12 points) Slime is growing on the surface of a pond. It doubles the area it covers every
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Unformatted text preview: 3 days. Initially it covers 1% of the pond. How long will it take to cover the whole pond? 7. (10 points) For what values of a, b and c is it true that [ 1 0 0 2 ][ a b c ] = [ a b c ][ 1 0 0 2 ] 8. (12 points) Solve the general solution to ( x-1)( x-2) y = y -1 , x > 2 . 9. (12 points) A solution containing 3 g/liter of salt ows in a 60 liter tank at a rate of 6 liters/min. Initially the tank is half full of pure water. The well stirred mixture ows out at a rate of 4 liters/min. How much salt (in grams) is in the tank when it overows? 3...
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This note was uploaded on 03/01/2012 for the course MA 262 taught by Professor Ber during the Fall '08 term at Purdue University-West Lafayette.

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Practice_exam1 - 3 days. Initially it covers 1% of the...

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