Solution 23 to problem l21o35
Expressions |
Parameters |
Relevance |
Back to problem l21o35
Expressions
The solution is given through the following expressions:
10 2 2
----*a4 *a9 *b23
9
b40=------------------
4
a8
5 2 2
---*a4 *a9 *b23
9
b39=-----------------
4
a8
20 2
- ----*a4*a9 *b23
9
b38=--------------------
3
a8
20 2
- ----*a4*a9 *b23
9
b37=--------------------
3
a8
10 2
- ----*a4*a9 *b23
9
b36=--------------------
3
a8
10
- ----*a4*a9*b23
9
b35=-------------------
2
a8
10
- ----*a4*a9*b23
3
b34=-------------------
2
a8
35
- ----*a4*a9*b23
9
b33=-------------------
2
a8
35
- ----*a4*a9*b23
9
b32=-------------------
2
a8
- 5*a4*a9*b23
b31=----------------
2
a8
5
- ---*a4*a9*b23
3
b30=------------------
2
a8
20 2
----*a9 *b23
9
b29=--------------
2
a8
20 2
----*a9 *b23
9
b28=--------------
2
a8
10
----*a9*b23
3
b27=-------------
a8
5*a9*b23
b26=----------
a8
35
----*a9*b23
9
b25=-------------
a8
10
----*a9*b23
9
b24=-------------
a8
20 3 2
----*a4 *a9 *b23
9
b22=------------------
5
a8
20 2 2
- ----*a4 *a9 *b23
3
b21=---------------------
4
a8
5 2 2
- ---*a4 *a9 *b23
3
b20=--------------------
4
a8
35 2
- ----*a4 *a9*b23
3
b19=--------------------
3
a8
10 2
- ----*a4 *a9*b23
3
b18=--------------------
3
a8
20 2
- ----*a4 *a9*b23
3
b17=--------------------
3
a8
2
- 5*a4 *a9*b23
b16=-----------------
3
a8
40 2
----*a4*a9 *b23
9
b15=-----------------
3
a8
40 2
----*a4*a9 *b23
9
b14=-----------------
3
a8
40
----*a4*a9*b23
9
b13=----------------
2
a8
10
----*a4*a9*b23
3
b12=----------------
2
a8
70
----*a4*a9*b23
9
b11=----------------
2
a8
25
----*a4*a9*b23
9
b10=----------------
2
a8
20
----*a4*a9*b23
3
b9=----------------
2
a8
5
---*a4*a9*b23
3
b8=---------------
2
a8
10
----*a4*b23
9
b7=-------------
a8
5
---*a4*b23
9
b6=------------
a8
10
----*a4*b23
9
b5=-------------
a8
20 2
- ----*a9 *b23
9
b4=-----------------
2
a8
25
- ----*a9*b23
9
b3=----------------
a8
10
- ----*a9*b23
9
b2=----------------
a8
1
b1= - ---*b23
9
- a4*a9
a12=----------
a8
- a4*a9
a11=----------
a8
a10=2*a9
2
- 2*a4 *a9
a7=-------------
2
a8
2*a4*a9
a6=---------
a8
a4*a9
a5=-------
a8
a3=0
a2=0
a1=0
Parameters
Apart from the condition that they must not vanish to give
a non-trivial solution and a non-singular solution with
non-vanishing denominators, the following parameters are free:
b23,a4,a9,a8
Relevance for the application:
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
2 2
df(u,t)=(u *f(v,v)*a4*a8*a9 + f(v,v )*a4*a8 - 2*f(v,v )*f(v,v)*a4 *a9
x 3x x
2
+ 2*f(v,v )*a4*a8*a9*u)/a8
x
df(v,t)=
2
u *a8*a9*v + v *a8 - v *f(v,v)*a4*a9 + 2*v *a8*a9*u - f(v,v )*a4*a9*v
x 3x x x x
-------------------------------------------------------------------------
a8
1 5 5 3
df(u,s)=( - ---*u *a8 *b23 + ---*u *f(v,v)*a4*a8 *a9*b23
9 5x 3 3x
10 4 25 4
- ----*u *a8 *a9*b23*u - ----*u *u *a8 *a9*b23
9 3x 9 2x x
20 3 25 3
+ ----*u *f(v,v )*a4*a8 *a9*b23 + ----*u *f(v ,v )*a4*a8 *a9*b23
3 2x x 9 x x x
70 3 5 2 2 2
+ ----*u *f(v,v )*a4*a8 *a9*b23 - ---*u *f(v,v) *a4 *a8*a9 *b23
9 x 2x 3 x
40 2 2 20 3 2 2
+ ----*u *f(v,v)*a4*a8 *a9 *b23*u - ----*u *a8 *a9 *b23*u
9 x 9 x
10 4 5 4
+ ----*f(v ,v )*a4*a8 *b23 + ---*f(v ,v )*a4*a8 *b23
9 2x 3x 9 x 4x
2 2 10 3
- 5*f(v ,v )*f(v,v)*a4 *a8 *a9*b23 + ----*f(v ,v )*a4*a8 *a9*b23*u
x 2x 3 x 2x
20 2 2 10 4
- ----*f(v ,v )*f(v,v )*a4 *a8 *a9*b23 + ----*f(v,v )*a4*a8 *b23
3 x x x 9 5x
10 2 2 40 3
- ----*f(v,v )*f(v,v)*a4 *a8 *a9*b23 + ----*f(v,v )*a4*a8 *a9*b23*u
3 3x 9 3x
35 2 2
- ----*f(v,v )*f(v,v )*a4 *a8 *a9*b23
3 2x x
20 2 3 2
+ ----*f(v,v )*f(v,v) *a4 *a9 *b23
9 x
20 2 2
- ----*f(v,v )*f(v,v)*a4 *a8*a9 *b23*u
3 x
40 2 2 2 5
+ ----*f(v,v )*a4*a8 *a9 *b23*u )/a8
9 x
10 3 35 3 3
df(v,s)=(----*u *a8 *a9*b23*v + ----*u *v *a8 *a9*b23 + 5*u *v *a8 *a9*b23
9 3x 9 2x x x 2x
10 2 20 2 2
- ----*u *f(v,v)*a4*a8*a9 *b23*v + ----*u *a8 *a9 *b23*u*v
9 x 9 x
4 5 2 10 3
+ v *a8 *b23 - ---*v *f(v,v)*a4*a8 *a9*b23 + ----*v *a8 *a9*b23*u
5x 3 3x 3 3x
2 35 2
- 5*v *f(v,v )*a4*a8 *a9*b23 - ----*v *f(v ,v )*a4*a8 *a9*b23
2x x 9 x x x
35 2 5 2 2 2
- ----*v *f(v,v )*a4*a8 *a9*b23 + ---*v *f(v,v) *a4 *a9 *b23
9 x 2x 9 x
20 2 20 2 2 2
- ----*v *f(v,v)*a4*a8*a9 *b23*u + ----*v *a8 *a9 *b23*u
9 x 9 x
10 2 10 2
- ----*f(v ,v )*a4*a8 *a9*b23*v - ----*f(v,v )*a4*a8 *a9*b23*v
3 x 2x 9 3x
10 2 2 20 2
+ ----*f(v,v )*f(v,v)*a4 *a9 *b23*v - ----*f(v,v )*a4*a8*a9 *b23*u*v)/
9 x 9 x
4
a8