Nonlinear systems

 

In Maple

For comparison with other CAS choose from: Axiom Derive Macsyma Mathematica Reduce

inputs outputs

• polynomial systems by the use of Grobner bases

      solve( {alpha* c1 - beta* c1^2 - gamma* c1*c2 + epsilon* c3 = 0,   \
             -gamma* c1*c2 + (epsilon+theta)* c3 - eta* c2 = 0,         \
              gamma* c1*c2 + eta* c2 - (epsilon+theta)* c3 = 0} ,{c3,c2,c1});
  

      {c1 = c1,
  
      c2 =
  
        c1 (- epsilon alpha + c1 epsilon beta - theta alpha + c1 theta beta)
      - --------------------------------------------------------------------
                           - eta epsilon + c1 theta gamma
  
      ,
  
      c3 =
  
                                                                     2
            c1 (- alpha eta + beta c1 eta - gamma c1 alpha + gamma c1  beta)
          - ----------------------------------------------------------------
                             - eta epsilon + c1 theta gamma
  
      }