Diﬀerential Equations
Mid Term Examination  I
MTH 2201
2/15/2005
Duartion: 1 hour
Max. Credit: 30 points
Answer all the questions. No credit will be given if only the answer is written
without showing the relevant supporting work. Write legibly. The numbers at the
end of each question indicate the maximum credit for the corresponding question.
1. Obtain an explicit solution of the diﬀerential equation
dX
dt
=(2

X
)(1

X
)
governing secondorder reactions.
[5]
2. Consider the diﬀerential equation (
x
+ 2) sin
ydx
+
x
cos
ydy
=0
.
(i) Verify if this DE is exact or not.
[1]
(ii) Find a function
μ
that is a solution of the DE
xμ
±
=(
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This note was uploaded on 02/11/2012 for the course MTH 2201 taught by Professor Kigaradze during the Spring '08 term at FIT.
 Spring '08
 Kigaradze
 Differential Equations, Equations

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