This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ODE, Math S3027D Section 001 Summer 2008 Final Exam Name: July 3, 2008 Do all problems, in any order. Show your work. An answer alone may not receive full credit. No notes, texts, or calculators may be used on this exam. You have 3 hours. Problem Possible Points Points Earned 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 10 10 TOTAL 100 1 1. Find the inverse Laplace transform of Y ( s ) = 1 s ( s 2 + 4 s + 8) . 2 2. What is the Laplace transform of the solution y ( t ) to 2 y +3 y = sin t + ( t ), y (0) = 1? Dont solve the equation! Im just asking for the Laplace transform of the solution! 3 3. Let A = parenleftbigg a 4 a 3 parenrightbigg for a a real constant and consider the system x = A x . For each of the following conditions, determine all values of a such that the system satisfies the condition. (a) Asymptotically stable (b) Improper node (means there is a repeated eigenvalue but only a 1dimensional space of eigenvectors)....
View Full
Document
 Spring '11
 Peters
 Math, Differential Equations, Equations

Click to edit the document details