Question: Solutions lost with rational functions

 I have a system of 4 rational equations involving 6 variables. I want to solve this system for 4 variables. 


Whenver I try to do this I get either an error message about solutions being lost, or maple being unable to allocate enough memory.

The Commands involved are here: 

 

eqs := [alpha*y(c[1]) = R[1]*(alpha*y(c[1])-c[1])/(alpha*y(c[1])-c[1]-A[1])+R[2]*(alpha*y(c[1])-c[1])/(alpha*y(c[1])-c[1]-A[2]), alpha*y(c[2]) = R[1]*(alpha*y(c[2])-c[2])/(alpha*y(c[2])-c[2]-A[1])+R[2]*(alpha*y(c[2])-c[2])/(alpha*y(c[2])-c[2]-A[2]), alpha*y(c[3]) = R[1]*(alpha*y(c[3])-c[3])/(alpha*y(c[3])-c[3]-A[1])+R[2]*(alpha*y(c[3])-c[3])/(alpha*y(c[3])-c[3]-A[2]), alpha*y(c[4]) = R[1]*(alpha*y(c[4])-c[4])/(alpha*y(c[4])-c[4]-A[1])+R[2]*(alpha*y(c[4])-c[4])/(alpha*y(c[4])-c[4]-A[2])]

[alpha*y(c[1]) = R[1]*(alpha*y(c[1])-c[1])/(alpha*y(c[1])-c[1]-A[1])+R[2]*(alpha*y(c[1])-c[1])/(alpha*y(c[1])-c[1]-A[2]), alpha*y(c[2]) = R[1]*(alpha*y(c[2])-c[2])/(alpha*y(c[2])-c[2]-A[1])+R[2]*(alpha*y(c[2])-c[2])/(alpha*y(c[2])-c[2]-A[2]), alpha*y(c[3]) = R[1]*(alpha*y(c[3])-c[3])/(alpha*y(c[3])-c[3]-A[1])+R[2]*(alpha*y(c[3])-c[3])/(alpha*y(c[3])-c[3]-A[2]), alpha*y(c[4]) = R[1]*(alpha*y(c[4])-c[4])/(alpha*y(c[4])-c[4]-A[1])+R[2]*(alpha*y(c[4])-c[4])/(alpha*y(c[4])-c[4]-A[2])]

(1)

solve(eqs, [R[1], R[2], A[1], A[2]])

Error, (in factors) unable to allocate enough memory, computation aborted

 

 

you can download the file here for your convenience:``

 

Maple_Primes_Questio.mw

Download Maple_Primes_Questio.mw

 
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