MATH 202 Exam 1, Fall 2000
American University of Beirut · Differential Equations · 1 page
Stuck on a question? A tutor can walk you through it.
More MATH 202 files
- Exam Solution to Sample Exam I · Spring 2019Exam · with solutionView
- Exam 1 Quiz 1 Spring 18 · Spring 2019ExamView
- Exam 1 SAMPLE EXAM I · Spring 2019ExamView
- Exam 2 Clean Copy · Spring 2019ExamView
- Midterm · Summer 2018ExamView
- Exam 1 · Fall 2017ExamView
- Exam 1 Quiz 1 2008 with Solution · Spring 2017Exam · with solutionView
- Exam 1 Quiz 1 2014 with Solution · Spring 2017Exam · with solutionView
Show the text of this exam
MATHEMATICS 202
SUMMER SEMESTER 1999-2000
MAKEUP QUIZ I
Date: JULY 21, 2000
Time: 55 MINUTES
Answer the following five questions:
1. Solve the initial-value problem
dy
dx = 2 +
�
y − 2x + 3, y(0) = 1.
(10 points)
2. Solve the differential equation
y(ln x − ln y)dx = (xln x − xln y − y)dy.
(10 points)
3. Solve the initial-value problem
xdy
dx + 4y = x4y2, y(1) = 1.
(10 points)
4. Solve the differential equation
(2y2 + 3x)dx + 2xydy = 0,
knowing that its integrating factor is of the form µ(x, y) = xmyn for some
reals m and n.
(10 points)
5. Explain why the diferential equation
(y′)2 = 4 − y2
4 − x2
possess no real solutions for |x| < 2, |y| > 2. Are there other regions in the
xy-plane for which the equation has no solutions?
(10 points)
1