MATH 308, Spring 2016
QUIZ # 1
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SECTION #:
INSTRUCTOR: Dr. Marco A. Roque Sol
THE AGGIE CODE OF HONOR
"An Aggie does not lie, cheat, or steal, or tolerate those who do." By signing below, you indicate that all
work is your own and that you have neither given nor received help from any external sources.
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1. (10 pts.) Verify that the given function is a solution of the dierential equation.
y 0 − 2ty = 1;
.
y = et
2
Z
t
2
e−s ds + et
2
0
2. (10 pts ) Determine the values of r for which the given dierential equation has a solution of the form y = ert .
y 00 + y 0 − 6y = 0
.
3. (10 pts.) Determine the long term behavior of the solution of the given directional eld.
.