26 sample documents related to MATH 4027

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  FinalExamPractice

  LSU MATH 4027
  

  Final Exam Practice Problems Math 4027 The nal exam will be comprehensive. You should review both the statements of all existence and uniqueness theorems and the various techniques employed for nding solution of dierential equations. As with the second ex
   
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  Exercise Set 5

  LSU MATH 4027
  

  Exercise Set 5 Math 4027 Due: May 5, 2005 1. Solve the following dierential equations: (a) y = x2 /y . Solution. The equation is separable, so rewrite it in the form yy = x2 or in dierential form y dy = x2 dx and integrate to get an implicit equation y2 x
   
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  Exercise Set 4

  LSU MATH 4027
  

  Exercise Set 4 Math 4027 Due: April 7, 2005 1. Find the general solution of each of the following dierential equations. (a) 2x2 y + xy y = 0 Solution. The indicial equation q (r) = 2r(r 1) + r 1 = (2r + 1)(r 1) has roots 1 and 1/2. Hence y = c1 x + c2 |x|
   
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  Exercise Set 3

  LSU MATH 4027
  

  Exercise Set 3 Math 4027 Due: March 15, 2005 1. Verify that the function 1 (x) is a solution of the given dierential equation, and nd a second linearly independent solution 2 (x) on the interval indicated. (a) y 2x2 y = 0 (b) y 4xy + (4x2 2)y = 0 (c) (1 x
   
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  Exercise Set 2

  LSU MATH 4027
  

  Exercise Set 2 Math 4027 Due: February 10, 2005 1. Determine, with justication, whether each of the following lists of functions is linearly dependent or linearly independent. (a) 1 (x) = ex , 2 (x) = ex+2 Solution. These functions are linearly dependent
   
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  Exercise Set 1

  LSU MATH 4027
  

  Exercise Set 1 Math 4027 Due: February 1, 2005 1. Find the solution of the initial value problems: (a) y + 2y = x, y (0) = 1, Solution. Multiply by e2x to get (e2x y ) = xe2x and then integrate to get x 2x 1 2x e e + C. 2 4 Solve for y and substitute y (0
   
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  Exam 2

  LSU MATH 4027
  

  Name: Exam 2 Instructions. Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each
   
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  Exam 1

  LSU MATH 4027
  

  Name: Exam 1 Instructions. Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each
   
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  Exam 1 Solutions

  LSU MATH 4027
  

   
   
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  Exam2Practice

  LSU MATH 4027
  

  Exam II Practice Problems Math 4027 The syllabus for the second exam will consist of Chapter 3 (Sections 1 8) and Chapter 4 (Sections 1 4, 6 8). Here are a few sample problems similar to previously assigned problems. 1. Find a basis for the solution set o
   
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  AdkinsSyllabi

  LSU MATH 4027
  

  Math 4027 Differential Equations Spring 2005 TTh 10:40 - 12:00 Lockett 113 Instructor: William A. Adkins 350 Lockett Hall Tel: 578-1601 E-mail: adkins@math.lsu.edu Class Web Site: http:/www.math.lsu.edu/~adkins/m4027.html Office Hours: 9:40 - 10:30 A.M. M
   
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