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Unformatted text preview: MATH 251 Final Examination December 16, 1999 Name: Student Number: Instructor: Section: This exam has 12 questions for a total of 150 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. You may not use a calculator on this exam. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: Total: Do not write in this box. MATH 251 FINAL EXAMINATION DECEMBER 16, 1999 1. (12 points) Find the general solution of x dy dx 4 y = x 5 e x . Page 2 of 13 MATH 251 FINAL EXAMINATION DECEMBER 16, 1999 2. (12 points) Find the general solution of the given initial value problem in explicit form dy dx = x y , y (4) = 3 . Page 3 of 13 MATH 251 FINAL EXAMINATION DECEMBER 16, 1999 3. (12 points) Solve y + 3 y + 2 y = 4 x 2 , y (0) = 7 , y (0) = 0 . Page 4 of 13 MATH 251 FINAL EXAMINATION DECEMBER 16, 1999 4. (12 points) Beer containing 6% alcohol per gallon is pumped into a tank that initially contains 300 gallons of beer at 3% alcohol. The rate at which the beer is pumped in is 3 gallons per300 gallons of beer at 3% alcohol....
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.
 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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