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# Exam2 - Math 427K Exam 2 Name UT EID Instructions Please...

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Math 427K Exam 2 Name: UT EID: Instructions Please put your name and UT EID in the space provided. There are 6 questions each worth 10 points. You have 75 minutes to complete the test. Please write your working and solutions on the test paper. You may use the back of the pages. Calculators are not allowed. Method of Undetermined Coefficients Table g ( t ) Y ( t ) P n ( t ) = a n t n + a n - 1 t n - 1 + · · · + a 0 t s ( A n t n + A n - 1 t n - 1 + · · · + A 0 ) P n ( t ) e αt t s ( A n t n + A n - 1 t n - 1 + · · · + A 0 ) e αt P n ( t ) e αt sin( βt ) cos( βt ) t s ( A n t n + A n - 1 t n - 1 + · · · + A 0 ) e αt cos( βt ) + ( B n t n + B n - 1 t n - 1 + · · · + B 0 ) e αt sin( βt ) For Instructor’s Use Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Total

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M427K Exam 2 March 30, 2006 Question 1 1. [3 Points] Find the general solutions of the homogeneous second order constant coefficient ordinary differential equation y ( x ) + y ( x ) - 6 y ( x ) = 0 2. [3 Points] Find the general solutions of the homogeneous second order constant coefficient ordinary differential equation
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Exam2 - Math 427K Exam 2 Name UT EID Instructions Please...

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