Solution 2 to problem l2313o35
Expressions |
Parameters |
Relevance |
Back to problem l2313o35
Expressions
The solution is given through the following expressions:
b126=0
b125=0
b124=0
b123=0
b122=0
b121=0
b120=0
b119=0
b118=0
b117=0
b116=0
b115=0
b114=0
1
---*a18*a3*b1
3
b113=---------------
2
a1
b112=0
a18*a3*b1
b111=-----------
2
a1
b110=0
b109=0
b108=0
b107=0
b106=0
b105=0
b104=0
b103=0
b102=0
b101=0
b100=0
b99=0
b98=0
b97=0
b96=0
b95=0
b94=0
b93=0
b92=0
b91=0
b90=0
b89=0
b88=0
b87=0
a18*b1
b86=--------
a1
b85=0
b84=0
b83=0
b82=0
b81=0
b80=0
b79=0
b78=0
b77=0
b76=0
b75=0
b74=0
b73=0
b72=0
b71=0
b70=0
b69=0
b68=0
b67=0
b66=0
b65=0
b64=0
b63=0
b62=0
b61=0
b60=0
b59=0
b58=0
b57=0
b56=0
b55=0
b54=0
b53=0
b52=0
b51=0
b50=0
b49=0
b48=0
1 2
- ---*a18*a3 *b1
9
b47=-------------------
3
a1
b46=0
1 2
- ---*a18*a3 *b1
3
b45=-------------------
3
a1
b44=0
b43=0
b42=0
b41=0
b40=0
b39=0
b38=0
b37=0
b36=0
b35=0
b34=0
1
- ---*a18*a3*b1
3
b33=------------------
2
a1
b32=0
b31=0
b30=0
b29=0
b28=0
b27=0
b26=0
b25=0
b24=0
b23=0
b22=0
b21=0
b20=0
b19=0
b18=0
b17=0
b16=0
b15=0
b14=0
b13=0
b12=0
b11=0
b10=0
b9=0
1
---*a3*b1
3
b8=-----------
a1
5
---*a3*b1
3
b7=-----------
a1
10
----*a3*b1
3
b6=------------
a1
b5=0
b4=0
b3=0
b2=0
1
---*a18*a3
3
a22=------------
a1
a21=0
a20=0
a19=0
a17=0
a16=0
a15=0
a14=0
a13=0
a12=0
1 2
- ---*a18*a3
9
a11=----------------
2
a1
a10=0
1
- ---*a18*a3
3
a9=---------------
a1
a8=0
a7=0
a6=0
a5=0
1
a4=---*a3
3
a2=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:
b1,a3,a18,a1
Relevance for the application:
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3 1 3 2
df(u,t)=(u *a1 - ---*u *f(v,v) *a1*a18*a3 + f(v ,v )*a1 *a3
3x 3 x x 2x
1 2 1 3 2 2
+ ---*f(v,v )*a1 *a3 - ---*f(v,v )*f(v,v) *a18*a3 )/a1
3 3x 9 x
2 1 2
u *f(v,v) *a1*a18*v + ---*f(v,v )*f(v,v) *a18*a3*v
x 3 x
df(v,t)=----------------------------------------------------
a1
3 1 3 10 2
df(u,s)=(u *a1 *b1 - ---*u *f(v,v) *a1*a18*a3*b1 + ----*f(v ,v )*a1 *a3*b1
5x 3 3x 3 2x 3x
5 2 1 3 2
+ ---*f(v ,v )*a1 *a3*b1 - ---*f(v ,v )*f(v,v) *a18*a3 *b1
3 x 4x 3 x 2x
1 2 1 3 2 3
+ ---*f(v,v )*a1 *a3*b1 - ---*f(v,v )*f(v,v) *a18*a3 *b1)/a1
3 5x 9 3x
2 2
df(v,s)=(u *f(v,v) *a1*a18*b1*v + f(v ,v )*f(v,v) *a18*a3*b1*v
3x x 2x
1 2 2
+ ---*f(v,v )*f(v,v) *a18*a3*b1*v)/a1
3 3x