# M251ex1(sp03) - MATH 251 Midterm Exam I Spring 2003 NAME...

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

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

View Full Document

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: MATH 251 Midterm Exam I Spring 2003 NAME STUDENT NUMBER INSTRUCTOR There are 11 questions on 9 pages. Please read each problem carefully before starting to solve it. Show all work – credit will not be given for an answer unsupported by work . N O CALCULATORS ARE ALLOWED . Point - grader use only 1. ( 8 pt) 2. ( 6 pt) 3. ( 6 pt) 4. ( 6 pt) 5. ( 6 pt) 6. (10 pt) 7. (14 pt) 8. (10 pt) 9. (12 pt) 10.(12 pt) 11.(10 pt) Total MATH 251 Midterm Exam I PAGE 2 1. (8 points) Classify the following differential equations as linear or non-linear and state their order. linear/ order non-linear ln( t ) d 2 y dt 2 + 3 e t dy dt- y sin t = 0 2 y- y 2 = e t y 000 + ( t 2- 1) y + cos t = 0 y 00- sin( t + y ) y + ( t 2 + 1) y = 0 2. (6 points) What is the integrating factor of the differential equation t 2 y 00- 4 ty = e t- cos 2 t (a) μ ( t ) = 1 /t 4 (b) μ ( t ) = e 4 ln t (c) μ ( t ) =- t 4 (d) μ ( t ) =- 2 t 2 Page 2 MATH 251 Midterm Exam I PAGE 3 3. (6 points) The Existence and Uniqueness Theorem guarantees that the solution to3....
View Full 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 / 9

M251ex1(sp03) - MATH 251 Midterm Exam I Spring 2003 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