M251ex1(sp05) - Math 251 February 24, 2005 First Exam NAME:...

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

View Full Document Right Arrow Icon
Math 251 February 24, 2005 First Exam NAME: Section #: There are 9 questions on this exam. Question 9 is worth 12 points. Each other question is worth 11 points. The points assigned to each part of the question are indicated at the start of the part. Show all your work . Partial credit may be given. The use of calculators, books, or notes is not permitted on this exam. Please turn off your cell phone before starting this exam. Time limit 1 hour and 15 minutes. Question Score 1 2 3 4 5 6 7 8 9 Total
Background image of page 1

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

View Full DocumentRight Arrow Icon
1. a. 9pts Find the general solution to the following ODE ty 0 + 2 y = 2 t > 0 b. 2pts Find the solution of the above equation which satisfies y (1) = 0.
Background image of page 2
2. a. 3pts Verify that the following ODE is exact: 2 t + e y + ( te y - cos y ) dy dt = 0 (Show your work.) b. 6pts Find the general solution to the ODE in Part a. (You may leave your answer in implicit form.) c. 2pts Find the solution to the ODE in Part a. which satisfies y (1) = π/ 2.
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 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.

Page1 / 10

M251ex1(sp05) - Math 251 February 24, 2005 First Exam 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