Solution 12 to problem l112o13
Expressions |
Parameters |
Relevance |
Back to problem l112o13
Expressions
The solution is given through the following expressions:
1
b42=---*b22
8
b41=0
b40=b18 - b39
b38=0
b37=0
b36=0
b35=0
b34= - b31 + b8
b33=b8
1 1
b32=---*b10 - b8 + ---*b9
2 2
b30=0
b29=0
b28=0
b27=0
b26=0
b25=0
b24=0
b20=0
b19=4*b18
b14=0
b13=0
b12=0
b11=b10
b5=0
b4=0
b3=0
b2=0
b1=0
a8=0
a7=0
a5=0
a4=0
a2=0
a0=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:
b39, b31, b23, b22, b21, b18, b17, b16, b15, b10, b9,
b8, b6, b7, a3
Relevance for the application:
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
df(u,t)=u *a6 + f(v,v )*a3
x x
df(v,t)=v *a6
x
2
df(u,s)=u *f(v,v)*b8 + u *f(v,v )*b9 + u *f(v,v) *b18 + f(v ,v )*b6
2x x x x x 2x
+ f(v ,v )*f(v,v)*b15 + f(v ,v )*b10*u + f(v,v )*b7 + f(v,v )*f(v,v)*b16
x x x x 3x 2x
2 2
+ f(v,v )*b10*u + f(v,v ) *b17 + f(v,v )*f(v,v) *b21 + 4*f(v,v )*f(v,v)*b18*u
2x x x x
4 3
+ f(v,v) *b23 + f(v,v) *b22*u
1 1
df(v,s)=v *f(v,v)*b31 + ---*v *f(v,v )*b10 - v *f(v,v )*b8 + ---*v *f(v,v )*b9
2x 2 x x x x 2 x x
2
+ v *f(v,v) *b39 + f(v ,v )*b8*v - f(v,v )*b31*v + f(v,v )*b8*v
x x x 2x 2x
1 3
+ f(v,v )*f(v,v)*b18*v - f(v,v )*f(v,v)*b39*v + ---*f(v,v) *b22*v
x x 8