M251final(su03) - MATH 251 Summer 2003 Final Exam Take home NAME ID INSTRUCTOR This exam is due at the beginning of class on Thursday the 7th of

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MATH 251 Summer 2003 Final Exam Take home NAME : ID : INSTRUCTOR : This exam is due at the beginning of class on Thursday the 7 th of August, 2003. Class attendance on that day is compulsory. When you hand in this exam, please read the state- ment below and sign this page, returning it with your exam to your instructor. Failure to do this will result in a deduction of your ±nal exam score. This is a take-home ±nal exam. You may use your notes and any book(s). However, you may not receive any from any other person, except perhaps from myself (a clari±ca- tion of a problem). By signing this you signify that you have read the above and have not breached the above conditions for this exam, if you feel you cannot ful±l these require- ments please see me. Your signature: P LEASE DO NOT WRITE IN THE BOX BELOW . 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: Total:
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MATH 251 Summer 2003 - Final Exam 1. (15 points) (a) Give an example of a ±rst order autonomous differential equation that has ex- actly 3 equilibrium solutions. (b) Find a second order linear equation whose general solution is
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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.

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M251final(su03) - MATH 251 Summer 2003 Final Exam Take home NAME ID INSTRUCTOR This exam is due at the beginning of class on Thursday the 7th of

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