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Question: How can be written system of eqautions without the variable "t"

Question:How can be written system of eqautions without the variable "t"

achreftabet 60 Maple 18
substitution
April 28 2023
0

Hallo every body 

i have a question How can be written this system of eqautions without the variable "t"

thanks 

> 

restart
> 

``
> 

eq10 := epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-Y(t)*alpha

epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-Y(t)*alpha

 (1)
> 

eq11 := alpha*X(t)

alpha*X(t)

 (2)
> 

eq12 := epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-beta*U(t)

epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-beta*U(t)

 (3)
> 

eq13 := beta*Z(t)

beta*Z(t)

 (4)
> 

eq14 := epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-W(t)

epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))-W(t)

 (5)
> 

eq15 := V(t)

V(t)

 (6)
> 

eq16 := epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))

epsilon*F(-(V(t)*alpha^4*beta^2-V(t)*alpha^2*beta^4-S(t)*alpha^4*beta^2+S(t)*alpha^2*beta^4+X(t)*beta^4-Z(t)*alpha^4+S(t)*alpha^4-S(t)*beta^4-X(t)*beta^2+Z(t)*alpha^2-S(t)*alpha^2+S(t)*beta^2)/(alpha^2*(alpha^2-1)*(alpha^2-beta^2)*beta^2*(beta^2-1)), (W(t)*alpha^3*beta-W(t)*alpha*beta^3+Y(t)*beta^3-U(t)*alpha^3-Y(t)*beta+U(t)*alpha)/((alpha^2*beta^2-alpha^2-beta^2+1)*beta*alpha*(alpha^2-beta^2)), (X(t)*beta^2-Z(t)*alpha^2+V(t)*alpha^2-V(t)*beta^2-X(t)+Z(t))/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), -(Y(t)*alpha*beta^2-U(t)*alpha^2*beta+W(t)*alpha^2-W(t)*beta^2-Y(t)*alpha+beta*U(t))/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), -(X(t)*alpha^2*beta^2-Z(t)*alpha^2*beta^2-X(t)*alpha^2+beta^2*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)), (Y(t)*alpha^3*beta^2-U(t)*alpha^2*beta^3-Y(t)*alpha^3+beta^3*U(t)+W(t)*alpha^2-W(t)*beta^2)/((alpha^2-beta^2)*(alpha^2*beta^2-alpha^2-beta^2+1)), (X(t)*alpha^4*beta^2-Z(t)*alpha^2*beta^4-X(t)*alpha^4+beta^4*Z(t)+V(t)*alpha^2-V(t)*beta^2)/((alpha^2-beta^2)*(beta^2-1)*(alpha^2-1)))

 (7)
> 

``

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