TEXAS A&M UNIVERSITY
DEPARTMENT OF MATHEMATICS
MATH 308-502
Exam 1 version A, 3 Oct 2014
On my honor, as an Aggie, I have neither given nor received unauthorized aid on this work.
Name (print):
No detailed analytical work — no points.
Each question is worth 5 points
1.
Find the solution of
dy
= 6e2x−y ,
dx
y(0) = 0.
2.
Find the solution of
(1 + x)y 0 + y = cos x,
y(0) = 1.
3.
Find the general solution (implicit is ok) of
(6xy − y 3 )dx + (4y + 3x2 − 3xy 2 )dy = 0.
4.
Find the general solutions of
1.
y 00 + 6y 0 + 7y = 0,
2.
y 00 + 6y 0 + 9y = 0,
3.
y 00 + 6y 0 + 10y = 0.
5.
Find the solution of
y 00 + ω02 y = sin(ω0 t),
Points:
y(0) = 0, y 0 (0) = 0.
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