Danang University of Technology
MATH307/MTH256 MIDTERM EXAM
Classes: 12ECE & 12ES
Time allowed: 90 minutes
dx
x cot t 1, x t 2 0 0 t .
dt
2) (2.5 pts). Find an integrating factor of the form ( y x) and solve the
1) (3.5 pts). Solve the IVP:
6 x 3 2 x5 2
Danang University of Technology
MATH307 MIDTERM EXAM
Class: 10ECE
Time allowed: 120 minutes
dy
2 y sin x, y x 2 0 x 0 .
dx
2) (2.5 pts). Find an integrating factor of the form ( y ) and solve the ODE:
dy
y 2 cos x y 2 2 y sin x 0.
dx
d2 y
dy
3) (2.5 pts)
Danang University of Technology
MATH307 MIDTERM EXAM
Class: 09ECE
Time allowed: 120 minutes
dy
p
p
- y tan x =1, y (0) =0 <x <
.
dx
2
2
2) (2.5 pts). Find an integrating factor of the form m( xy ) and solve the ODE:
6 x 3 y
2
d
3
+
+ xy 2 y + x 2 x =0.