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Unformatted text preview: Preparation to Exam 3. Complete homework. Fix all quiz mistakes. You may have a one-sided 8 . 5 00 11 00 sheet with hand-written formulas and notes. The sheet must be submitted with the exam. Before submission, write your first and last name on the sheet. The same size cheat sheet will be allowed on the final exam. Therefore, if you do not want to rewrite your formulas for the final exam, then do not fill out the whole sheet and save some space for the old and coming material. Since I let you write anything, I will not provide formulas on the exam. Bring a Blue Book to have scratch paper on the exam. (You may use the same one that you used on the first two exams.) Solve the following 1. y 000- y 00- 4 y + 4 y = 5- e x 2. x 2 y 00- 2 xy + 2 y = x 3 e x 3. Find the first five non-zero terms for each of the two linearly independent power series solutions about the point x = 0 of the equation y 00- ( x + 1) y- y = 0. On what interval do the power series solutions exist?what interval do the power series solutions exist?...
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- Fall '08