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Unformatted text preview: Math 251 March 31, 2005 Second Exam NAME: Section #: There are 9 questions on this exam. Question 9 is worth 12 points. Each other question is worth 11 points. The points assigned to each part of the question are indicated at the start of the part. Show all your work . Partial credit may be given. The use of calculators, books, or notes is not permitted on this exam. Please turn off your cell phone before starting this exam. Time limit 1 hour and 15 minutes. Question Score 1 2 3 4 5 6 7 8 9 Total 1. In Parts a and b determine the form of a particular solution y p = y p ( t ) having the least number of unknown constants. DO NOT DETERMINE the unknown constants appearing in your answers in Parts a and b . a. 2pt y 00 14 y + 49 y = 2 t 2 e 7 t b. 2pt y 00 50 y + 49 y = 3 te t c. 7pt Without using Laplace transforms, find a particular solution to the following ODE: y 00 + 3 y = e t sin 2 t (In this part you need to determine the unknown constant(s) in the solution. 2. Assume that acceleration due to gravity g is equal to 10 meter/sec 2 . An object with mass 2 kg stretches a spring 2 . 5 meters to the equilibrium position. Assume5 meters to the equilibrium position....
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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations

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