Math 320 Answers to Practice Problems for
Midterm Exam 1
1. (a) 4th order, nonlinear. (b) 3rd order, linear. (c) 2nd order, nonlinear. (d) 6th order,
linear. (e) 1st order, nonlinear.
2. (a) (, 1). (b) ( 3, 3).
3. General solution to the ODE is
y = 0 or y
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220 - FALL 2010 - EXAM 1
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On this exam, you may use a calculator and one page with formulas. It is not sucient to just write down the answers. You must show your work to get full credit.
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DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220, EXAM 2, FALL 2010
Your Name:
On this exam, you may use a calculator and a formula page. It is not sucient to
just write down the answers. You must explain how you arrived at your answers and
how you
Study guide - Math 320
November 29, 2012
1
1.1
First Order Equations
Linear Equations
An equation is linear, if in the form
y + p(t)y = q(t).
Introducing the integrating factor
(t) = e
p(t)dt
the solutions is then in the form
y(t) =
1.2
1
(t)
q(t)(t)dt
Se
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220 - SPRING 2005 - FINAL EXAM
Your Name:
On this exam, you may use a calculator and some formula
notes.
It is not sucient to just write down the answers. You
must explain how you arrived at your answers
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220 - SPRING 2005 - FINAL EXAM SOLUTIONS
1. (35 points) Solve the initial-value problem and draw the graph of the
solution
ty + 2y = 4t2 y(1) = 2.
Solution:
Since it is rst order linear dierential equat
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220 - FALL 2010 - FINAL EXAM
Your Name:
On this exam, you may use a calculator and some formula notes.
It is not sucient to just write down the answers. You must explain how you arrived
at your answers a
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 220 - FALL 2010 - FINAL EXAM
Your Name:
On this exam, you may use a calculator and some formula notes.
It is not sucient to just write down the answers. You must explain how you arrived
at your answers a
DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 320 - Fall 2012 - SAMPLE EXAM 1
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at your answers and how you know they are correct.
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3
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4
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DEPARTMENT OF MATHEMATICS
UNIVERSITY OF KANSAS
MATH 320 - Fall 2012 - EXAM II
Sample
Your Name:
On this exam, you may use a calculator and a page of formulas, nothing else. It is
not sucient to just write down the answers. You must explain how you arrived
Math 320 Answers to Practice Problems for
Midterm Exam 2
1. (a) y (t) = c1 cos(t) + c2 sin(t).
(b) y (t) = c1 + c2 ex .
(c) y (t) = c1 et/2 + c2 tet/2 .
(d) y (t) = c1 et cos(t) + c2 et sin(t).
2. (a) y (t) = et .
1
(b) y (t) = cos(2t) 2 sin(2t).
1
(c) y