In[]:=
Out[]=
-4
2
a0
l-
96a0
2
k
m
4
′
G
[ξ]
6
G[ξ]
+
96a0
2
k
m
2
′
G
[ξ]
′′
G
[ξ]
5
G[ξ]
-
24a0
2
k
m
2
′′
G
[ξ]
4
G[ξ]
,-8a0a1l+
48a0
2
k
m
3
′
G
[ξ]
4
G[ξ]
-
32a1
2
k
m
4
′
G
[ξ]
6
G[ξ]
-
48a0
2
k
m
′
G
[ξ]
′′
G
[ξ]
3
G[ξ]
+
32a1
2
k
m
2
′
G
[ξ]
′′
G
[ξ]
5
G[ξ]
-
8a1
2
k
m
2
′′
G
[ξ]
4
G[ξ]
+
8a0
2
k
m
(3)
G
[ξ]
2
G[ξ]
,-4a0-4
2
a1
l-8a0a2l-8a0a3Hl-8a0a4
2
H
l+a0
2
n
-4a0nν+4a0
2
ν
-
8a0a3l
′
G
[ξ]
2
G[ξ]
-
16a0a4Hl
′
G
[ξ]
2
G[ξ]
-
8a0a4l
2
′
G
[ξ]
4
G[ξ]
+
24a1
2
k
m
3
′
G
[ξ]
4
G[ξ]
-
24a1
2
k
m
′
G
[ξ]
′′
G
[ξ]
3
G[ξ]
+
4a1
2
k
m
(3)
G
[ξ]
2
G[ξ]
,-4a1-8a1a2l-8a1a3Hl-8a1a4
2
H
l+a1
2
n
-4a1nν+4a1
2
ν
-
8a1a3l
′
G
[ξ]
2
G[ξ]
-
16a1a4Hl
′
G
[ξ]
2
G[ξ]
-
8a1a4l
2
′
G
[ξ]
4
G[ξ]
,-4a2-4a3H-4a4
2
H
-4
2
a2
l-8a2a3Hl-4
2
a3
2
H
l-8a2a4
2
H
l-8a3a4
3
H
l-4
2
a4
4
H
l+a2
2
n
+a3H
2
n
+a4
2
H
2
n
-4a2nν-4a3Hnν-4a4
2
H
nν+4a2
2
ν
+4a3H
2
ν
+4a4
2
H
2
ν
-
4a3
′
G
[ξ]
2
G[ξ]
-
8a4H
′
G
[ξ]
2
G[ξ]
-
8a2a3l
′
G
[ξ]
2
G[ξ]
-
8
2
a3
Hl
′
G
[ξ]
2
G[ξ]
-
16a2a4Hl
′
G
[ξ]
2
G[ξ]
-
24a3a4
2
H
l
′
G
[ξ]
2
G[ξ]
-
16
2
a4
3
H
l
′
G
[ξ]
2
G[ξ]
+
a3
2
n
′
G
[ξ]
2
G[ξ]
+
2a4H
2
n
′
G
[ξ]
2
G[ξ]
-
4a3nν
′
G
[ξ]
2
G[ξ]
-
8a4Hnν
′
G
[ξ]
2
G[ξ]
+
4a3
2
ν
′
G
[ξ]
2
G[ξ]
+
8a4H
2
ν
′
G
[ξ]
2
G[ξ]
-
4a4
2
′
G
[ξ]
4
G[ξ]
-
4
2
a3
l
2
′
G
[ξ]
4
G[ξ]
-
8a2a4l
2
′
G
[ξ]
4
G[ξ]
-
24a3a4Hl
2
′
G
[ξ]
4
G[ξ]
-
24
2
a4
2
H
l
2
′
G
[ξ]
4
G[ξ]
+
a4
2
n
2
′
G
[ξ]
4
G[ξ]
-
4a4nν
2
′
G
[ξ]
4
G[ξ]
+
4a4
2
ν
2
′
G
[ξ]
4
G[ξ]
-
8a3a4l
3
′
G
[ξ]
6
G[ξ]
-
16
2
a4
Hl
3
′
G
[ξ]
6
G[ξ]
-
24a3
2
k
m
3
′
G
[ξ]
4
G[ξ]
-
48a4H
2
k
m
3
′
G
[ξ]
4
G[ξ]
-
4
2
a4
l
4
′
G
[ξ]
8
G[ξ]
-
80a4
2
k
m
4
′
G
[ξ]
6
G[ξ]
+
24a3
2
k
m
′
G
[ξ]
′′
G
[ξ]
3
G[ξ]
+
48a4H
2
k
m
′
G
[ξ]
′′
G
[ξ]
3
G[ξ]
+
80a4
2
k
m
2
′
G
[ξ]
′′
G
[ξ]
5
G[ξ]
-
8a4
2
k
m
2
′′
G
[ξ]
4
G[ξ]
-
4a3
2
k
m
(3)
G
[ξ]
2
G[ξ]
-
8a4H
2
k
m
(3)
G
[ξ]
2
G[ξ]
-
8a4
2
k
m
′
G
[ξ]
(3)
G
[ξ]
4
G[ξ]

In[]:=
​
In[]:=
Solve[coefficients0,{a0,a1,a2,a3,a4,H,ν}]
Out[]=