Spring 08 final

# Spring 08 final - Mathematics 38 Differential Equations...

This preview shows pages 1–2. Sign up to view the full content.

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.

Unformatted text preview: Mathematics 38 Differential Equations Final Examination May 5, 8:30–10:30 No calculators, notes, or books are allowed. Please make sure all electronic devices are turned off and out of sight. Show all work and cross out work you do not want graded! Remember to sign your blue book. With your signature you are pledging that you have neither given nor received assistance on this exam. Good luck! 1. (15 points) a. Find the general solution of Dvectorx = parenleftbigg 2- 1 3 parenrightbigg vectorx + parenleftbigg e t e t parenrightbigg . You may use that the general solution of the associated homogeneous system is c 1 parenleftbigg 2 e t e t parenrightbigg + c 2 parenleftbigg e 2 t e 2 t parenrightbigg . b. Find the general solution of x ′′ + x = sin 3 t . c . Find the general solution of tx ′ = ( x + 1)( t 2 + 1) for t > . 2. (5 points) Calculate the inverse Laplace transform of s 3( s 2 + 9) 2 ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Spring 08 final - Mathematics 38 Differential Equations...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online