MATH 240 Midterm: MATH 240 UPenn makeup 240 Fall 2011 Exams
Document Summary
No books, papers or may be used, other than a hand-written note sheet at most 8. 5 11 in size. All electronic devices must be switched o during the exam. This examination consists of nine (9) long answer questions and one (1) true/false question. Partial credits will be given only when a substantial part of a long answer question has been worked out. Merely displaying some formulas is not su cient ground for receiving partial credits: your name, printed, your penn id (last 4 of the middle 8 digits): My signature below certi es that i have complied with the university of pennsylvania"s code of academic integrity in completing this examination. 2: consider the following di erential equation (cid:20)x(1 x) d2 dx2 + (3 4x) d dx. 2(cid:21) u(x) = 0 . (a) find a real number such that there exists a solution of the form u(x) = x 1 +xn 1 anxn!
