# Exam3A - M427K EXAM 3A SPRING 2008 Dr Schurle Your name...

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

M427K EXAM 3A SPRING, 2008 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. (8 points) Use the deﬁnition of the Laplace transform of a function to ﬁnd the Laplace transform of f ( t ) = e 3 t . Show all the details of your work.

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

View Full Document
YOUR SCORE: /70 2. Let f ( t ) = u 2 ( t ) + 3 u 4 ( t ) sin( t - 4). (a) (6 points) Sketch an accurate graph of f ( t ) on 0 t 11. (b) (6 points) Find the Laplace transform of f ( t ). You may use the table attached at the end of this exam. 3. (6 points) Determine whether the method of separation of variables can be used to re- place the given partial diﬀerential equation by a pair of ordinary diﬀerential equations. If so, ﬁnd the equations. u xx + u tt + xu = 0
y

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/27/2008 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas.

### Page1 / 6

Exam3A - M427K EXAM 3A SPRING 2008 Dr Schurle Your name...

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

View Full Document
Ask a homework question - tutors are online