MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Practice Final Exam #1 Solutions
Instructions: No calculators, books, or notes are allowed on this exam. All electronic
devices must be turned o and put away. Unless noted as no partial credit, you mus
Name:
MUN Number:
MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Midterm Exam #1
Instructions: No calculators, books, or notes are allowed on this exam. All electronic
devices must be turned o and put away. Unless noted as no partial credit, you mu
Name:
MUN Number:
MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Midterm Exam #2 Solutions
Instructions: No calculators, books, or notes are allowed on this exam. All electronic
devices must be turned o and put away. Unless noted as no partial cred
MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Practice Midterm Exam #1
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1. (20 points) Solve 2x dx + cos2 (y) ln(x) = 0.
Answer: Note, rst of all, that any solution where cos(y) = 0 will be a constant
solution. Thus, y(x) = k for any integer k f
MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Practice Final Exam #2 Solutions
Instructions: No calculators, books, or notes are allowed on this exam. All electronic
devices must be turned o and put away. Unless noted as no partial credit, you mus
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MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Midterm Exam #2 Review problems
1. Check that y1 (x) = cos(2x) and y2 (x) = 4 sin2 x 2 are solutions of y + 4y = 0. Do
they form a fundamental set of solutions?
Answer: By computation, we have y1 (x) =
MATH 2260 (Ordinary Dierential Equations I) Fall 2014
Course Outline
Unit 1: First Order Differential Equations (approx. 5 weeks)
1.1: Introduction, First-Order Equations, Direction Fields (1.11.3)
1.2: Integrating Factors and Variation of Parameters (2.1