Exam3B - M427K EXAM 3B FALL, 2009 Dr. Schurle Your name:...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
M427K EXAM 3B FALL, 2009 Dr. Schurle Your name: Your UTEID: Show all your work on these pages. Be organized and neat. Your work should be your own; there should be no talking, reading notes, checking laptops, using cellphones, . . . . 1. (10 points) Use the definition of the Laplace transform of a function to find the Laplace transform of the following function. Show all the details of your work. f ( t ) = 0 0 t < 2 3 2 t < 5 0 5 t
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
YOUR SCORE: /100 2. Let g ( t ) = ( 1 0 t 3 e - ( t - 3) 3 t . This problem continues onto the next page. (a) (6 points) Sketch an accurate graph of g ( t ) on t 0. (b) (8 points) Use one or more step functions and exponentials to express g ( t ). (c) (6 points) Find the Laplace transform of g ( t ). You may use the table attached at the end of this exam.
Background image of page 2
L{ y } of the solution y ( t ) of the initial value problem y 00 - 5 y 0 + 6 y = g ( t ); y (0) = 7; y 0 (0) = 12 . 3. (10 points) Solve the following initial value problem, where
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/27/2012 for the course MATH 427 k taught by Professor Goddard during the Fall '10 term at University of Texas at Austin.

Page1 / 6

Exam3B - M427K EXAM 3B FALL, 2009 Dr. Schurle Your name:...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online