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# exam1 - Midterm 1 of Math 255.01(Wi11 The Ohio State...

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Unformatted text preview: Midterm 1 of Math 255.01 (Wi11) January 28, 2011 The Ohio State University 1:30pm-2:18pm Including the cover sheer, this exam consists of five (5) pages and four (4) problems and is worth a total of 100 points. The point value of each problem is indicated. To obtain full credit, you must have the correct answers along with relevant supporting work to jus- tify them. Partial credit will be given based on the work that is shown. However, answers without sufficient supporting work will receive no credit. Also, you must complete the exam in 48 minutes. Good luck! Name: Signature: OSU Internet Username: Problem # Score 1 (25 pts) 2 (25 pts) 3 (25 pts) 4 (25 + 2 pts) 1. Consider the initial-value problem t dy dt + 2 y = t 2- t + 1 , y (1) = 1 2 . (a) (4) Deduce the domain of the solution without solving the differential equation. Justify your answer. Solution: The equation can be written as dy dt + 2 t y = t- 1 + 1 t . The coefficient functions are discontinuous only at t = 0 . Since the domain must be an interval that contains the initial t-value, the domain is (0 , ∞ ) . (b) (21) Compute the solution to the initial-value problem explicitly....
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exam1 - Midterm 1 of Math 255.01(Wi11 The Ohio State...

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