MATH 114 Midterm: MATH 114 UPenn 114S08Solutions Exam

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31 Jan 2019
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You may use during the exam, a single 5x7 inch card on which you may have written on both sides, if you wish. No more than one such card, and no larger size, please. No other books, papers, calculators, or other materials may be consulted during an exam. The exam consists of twenty (20) multiple choice questions, and each question o ers a choice of. Circle the answer that you choose, in each case, on the question sheet itself. The exam booklets are given to you for your convenience in working out the problems, but do not hand in these booklets when the exam is over. Hand in only the exam itself, with your answers to the questions circled. Look for a product solution u(r, ) = R(r) ( ), and name the separation constant so that the di erential equation turns out to be ( ) + 2 ( ) = 0.