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GE 207K
Classication of DE’s – Solution
August 31, 2010
Equation
Independent
Variable(s)
Dependent
Order
Ordinary
or
Par
tial
Linear
Nonlinear
Constant
Nonconstant
coeﬃcients
Homogeneous
Non
homogeneous
y
0
+ 3
(
t
) = 0
1st
O
L
C
H
=
x
2
+ 4
NH
)
+
= 6
NL
+ 5
4
+ (sin
= 0
NC
(sin
) =
dy
dt

00
+ 6
= cos
2nd
+ 2
) = sin
000
e
yy
3rd
d
= sin
q
R
dq
1
V
ty
α
∂
u
∂x
∂u
∂t
,
P
T
∂T
+ 5 sin
±
∂y
²
1
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