{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

M251ex1(sp08)

M251ex1(sp08) - MATH 251 Examination I Name Student Number...

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

View Full Document Right Arrow Icon

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: MATH 251 Examination I February 28, 2008 Name: Student Number: Section: This exam has 13 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. You may not use a calculator on this exam. Please turn off and put away your cell phone. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: Total: Do not write in this box. MATH 251 EXAMINATION I February 28, 2008 1. (6 points) For each of the differential equations below state its order and whether it is linear or nonlinear. Equation order linear/nonlinear (i) 2 y ′′′ + ty ′′ − y ′ + e t y = 0 (ii) y ′ = y 2 − y ′′ (iii) y ′ − cos(2 t ) y = t 2 − e − 5 t 2. (5 points) Which of the following initial value problems below is guaranteed to have a unique solution according to the appropriate Existence and Uniqueness Theorem? (a) y ′ + ln( t ) y = 2 , y (0) = 1 (b) cos( t ) y ′ − 5 y = t 2 , y ( π 2 ) = 0 (c) y ′′ + 9 y = 1 1 − e t , y (0) = 2 , y ′ (0) = − 2 (d) y ′′ + ( t 2 + 1) y ′ + t 3 y = 0 , y (1) = − 1 , y ′ (1) = 0 Page 2 of 10 MATH 251 EXAMINATION I February 28, 2008 3. (5 points) Consider the second order linear equation with constant coefficients ay ′′ + by ′ + cy = 0 , a negationslash = 0 ....
View Full Document

{[ snackBarMessage ]}

Page1 / 10

M251ex1(sp08) - MATH 251 Examination I Name Student Number...

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

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