Solution 24 to problem l21o35
Expressions |
Parameters |
Relevance |
Back to problem l21o35
Expressions
The solution is given through the following expressions:
b40=0
5 2 2
----*a10 *a4 *b23
36
b39=-------------------
4
a8
b38=0
5 2
- ---*a10 *a4*b23
9
b37=--------------------
3
a8
b36=0
b35=0
b34=0
10
- ----*a10*a4*b23
9
b33=--------------------
2
a8
10
- ----*a10*a4*b23
9
b32=--------------------
2
a8
5
- ---*a10*a4*b23
3
b31=-------------------
2
a8
5
- ---*a10*a4*b23
6
b30=-------------------
2
a8
5 2
---*a10 *b23
9
b29=--------------
2
a8
b28=0
5
---*a10*b23
3
b27=-------------
a8
5
---*a10*b23
3
b26=-------------
a8
10
----*a10*b23
9
b25=--------------
a8
b24=0
5 2 3
----*a10 *a4 *b23
18
b22=-------------------
5
a8
10 2 2
- ----*a10 *a4 *b23
9
b21=----------------------
4
a8
5 2 2
- ----*a10 *a4 *b23
36
b20=----------------------
4
a8
10 2
- ----*a10*a4 *b23
3
b19=---------------------
3
a8
10 2
- ----*a10*a4 *b23
9
b18=---------------------
3
a8
5 2
- ---*a10*a4 *b23
3
b17=--------------------
3
a8
5 2
- ---*a10*a4 *b23
6
b16=--------------------
3
a8
10 2
----*a10 *a4*b23
9
b15=------------------
3
a8
5 2
---*a10 *a4*b23
9
b14=-----------------
3
a8
20
----*a10*a4*b23
9
b13=-----------------
2
a8
5
---*a10*a4*b23
3
b12=----------------
2
a8
20
----*a10*a4*b23
9
b11=-----------------
2
a8
5
---*a10*a4*b23
9
b10=----------------
2
a8
5
---*a10*a4*b23
3
b9=----------------
2
a8
5
----*a10*a4*b23
18
b8=-----------------
2
a8
10
----*a4*b23
9
b7=-------------
a8
5
---*a4*b23
9
b6=------------
a8
10
----*a4*b23
9
b5=-------------
a8
5 2
- ---*a10 *b23
9
b4=-----------------
2
a8
5
- ---*a10*b23
9
b3=----------------
a8
5
- ---*a10*b23
9
b2=----------------
a8
1
b1= - ---*b23
9
a12=0
1
- ---*a10*a4
2
a11=---------------
a8
a9=0
1 2
- ---*a10*a4
2
a7=----------------
2
a8
a10*a4
a6=--------
a8
a5=0
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,a10,a8
Relevance for the application:
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
2 1 2
f(v,v )*a4*a8 - ---*f(v,v )*f(v,v)*a10*a4 + f(v,v )*a10*a4*a8*u
3x 2 x x
df(u,t)=--------------------------------------------------------------------
2
a8
2 1
v *a8 - ---*v *f(v,v)*a10*a4 + v *a10*a8*u
3x 2 x x
df(v,t)=----------------------------------------------
a8
1 5 5 3
df(u,s)=( - ---*u *a8 *b23 + ----*u *f(v,v)*a10*a4*a8 *b23
9 5x 18 3x
5 4 5 4
- ---*u *a10*a8 *b23*u - ---*u *u *a10*a8 *b23
9 3x 9 2x x
5 3 5 3
+ ---*u *f(v,v )*a10*a4*a8 *b23 + ---*u *f(v ,v )*a10*a4*a8 *b23
3 2x x 9 x x x
20 3 5 2 2 2
+ ----*u *f(v,v )*a10*a4*a8 *b23 - ----*u *f(v,v) *a10 *a4 *a8*b23
9 x 2x 36 x
5 2 2 5 2 3 2
+ ---*u *f(v,v)*a10 *a4*a8 *b23*u - ---*u *a10 *a8 *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
5 2 2
- ---*f(v ,v )*f(v,v)*a10*a4 *a8 *b23
6 x 2x
5 3
+ ---*f(v ,v )*a10*a4*a8 *b23*u
3 x 2x
5 2 2 10 4
- ---*f(v ,v )*f(v,v )*a10*a4 *a8 *b23 + ----*f(v,v )*a4*a8 *b23
3 x x x 9 5x
10 2 2
- ----*f(v,v )*f(v,v)*a10*a4 *a8 *b23
9 3x
20 3
+ ----*f(v,v )*a10*a4*a8 *b23*u
9 3x
10 2 2
- ----*f(v,v )*f(v,v )*a10*a4 *a8 *b23
3 2x x
5 2 2 3
+ ----*f(v,v )*f(v,v) *a10 *a4 *b23
18 x
10 2 2
- ----*f(v,v )*f(v,v)*a10 *a4 *a8*b23*u
9 x
10 2 2 2 5
+ ----*f(v,v )*a10 *a4*a8 *b23*u )/a8
9 x
10 3 5 3 4
df(v,s)=(----*u *v *a10*a8 *b23 + ---*u *v *a10*a8 *b23 + v *a8 *b23
9 2x x 3 x 2x 5x
5 2 5 3
- ---*v *f(v,v)*a10*a4*a8 *b23 + ---*v *a10*a8 *b23*u
6 3x 3 3x
5 2 10 2
- ---*v *f(v,v )*a10*a4*a8 *b23 - ----*v *f(v ,v )*a10*a4*a8 *b23
3 2x x 9 x x x
10 2 5 2 2 2
- ----*v *f(v,v )*a10*a4*a8 *b23 + ----*v *f(v,v) *a10 *a4 *b23
9 x 2x 36 x
5 2 5 2 2 2 4
- ---*v *f(v,v)*a10 *a4*a8*b23*u + ---*v *a10 *a8 *b23*u )/a8
9 x 9 x