Warning: ignoring variable 't' in 0 = C - u(t)
Noting that Cdot = diff(C)
Noting that Tdot = diff(T)
STARTING PANTELIDES!


Variables: [0] C, [1] T, [2] Cdot, [3] Tdot, [4] R, [5] Tc

Equations: 
[0] eq1: Cdot = K(C0 - C) -R  (ref: C, Cdot, R)
[1] eq2: Tdot = K1(T0 - T) + K2 R - K3 (T - Tc)  (ref: T, Tdot, R, Tc)
[2] eq3: 0 = R - K3 exp(-K4 / T) C  (ref: C, T, R)
[3] eq4: 0 = C - u(t)  (ref: C)


There are 4 equations in 4 variables (plus 2 derivatives)

Outer loop: equation k = eq1
Deleting edge {eq1-C}
Deleting edge {eq3-C}
Deleting edge {eq4-C}
Deleting variable C
Deleting edge {eq2-T}
Deleting edge {eq3-T}
Deleting variable T
      Coloured equation eq1
      ASSIGNing variable Cdot to equation eq1
Outer loop: equation k = eq2
      Coloured equation eq2
      ASSIGNing variable Tdot to equation eq2
Outer loop: equation k = eq3
      Coloured equation eq3
      ASSIGNing variable R to equation eq3
Outer loop: equation k = eq4
      Coloured equation eq4
Created equation eq4', diff(0 = C - u(t))
  Checking edge {eq4-C}, 3 0
  Adding new edge {eq4',Cdot}
  Adding new edge {eq4',C}
Set current equation to (i=4) eq4'
      Coloured equation eq4'
      Coloured variable Cdot (2)
      Coloured equation eq1
      Coloured variable R (4)
      Coloured equation eq3
Created variable Cdotdot (6)
Created variable Rdot (7)
Created equation eq1', diff(Cdot = K(C0 - C) -R)
  Checking edge {eq1-C}, 0 0
  Adding new edge {eq1',Cdot}
  Adding new edge {eq1',C}
  Checking edge {eq1-Cdot}, 0 2
  Adding new edge {eq1',Cdotdot}
  Adding new edge {eq1',Cdot}
  Checking edge {eq1-R}, 0 4
  Adding new edge {eq1',Rdot}
  Adding new edge {eq1',R}
Created equation eq3', diff(0 = R - K3 exp(-K4 / T) C)
  Checking edge {eq3-C}, 2 0
  Adding new edge {eq3',Cdot}
  Adding new edge {eq3',C}
  Checking edge {eq3-T}, 2 1
  Adding new edge {eq3',Tdot}
  Adding new edge {eq3',T}
  Checking edge {eq3-R}, 2 4
  Adding new edge {eq3',Rdot}
  Adding new edge {eq3',R}
Created equation eq4'', diff(diff(0 = C - u(t)))
  Checking edge {eq4'-C}, 4 0
  Adding new edge {eq4'',Cdot}
  Adding new edge {eq4'',C}
  Checking edge {eq4'-Cdot}, 4 2
  Adding new edge {eq4'',Cdotdot}
  Adding new edge {eq4'',Cdot}
Assigning Cdotdot to eq1'
Assigning Rdot to eq3'
Set current equation to (i=7) eq4''
Deleting edge {eq1-Cdot}
Deleting edge {eq4'-Cdot}
Deleting edge {eq1'-Cdot}
Deleting edge {eq3'-Cdot}
Deleting edge {eq4''-Cdot}
Deleting variable Cdot
Deleting edge {eq1-R}
Deleting edge {eq2-R}
Deleting edge {eq3-R}
Deleting edge {eq1'-R}
Deleting edge {eq3'-R}
Deleting variable R
      Coloured equation eq4''
      Coloured variable Cdotdot (6)
      Coloured equation eq1'
      Coloured variable Rdot (7)
      Coloured equation eq3'
      Coloured variable Tdot (3)
      Coloured equation eq2
      ASSIGNing variable Tc to equation eq2
      ASSIGNing variable Tdot to equation diff(0 = R - K3 exp(-K4 / T) C)
      ASSIGNing variable Rdot to equation diff(Cdot = K(C0 - C) -R)
      ASSIGNing variable Cdotdot to equation diff(diff(0 = C - u(t)))


PANTELIDES COMPLETED


Variables: [0] C, [1] T, [2] Cdot, [3] Tdot, [4] R, [5] Tc, [6] Cdotdot, [7] Rdot

Equations: 
[0] eq1: Cdot = K(C0 - C) -R  (ref: C, Cdot, R)
[1] eq2: Tdot = K1(T0 - T) + K2 R - K3 (T - Tc)  (ref: T, Tdot, R, Tc)
[2] eq3: 0 = R - K3 exp(-K4 / T) C  (ref: C, T, R)
[3] eq4: 0 = C - u(t)  (ref: C)
[4] eq4': diff(0 = C - u(t))  (ref: C, Cdot)
[5] eq1': diff(Cdot = K(C0 - C) -R)  (ref: C, Cdot, R, Cdotdot, Rdot)
[6] eq3': diff(0 = R - K3 exp(-K4 / T) C)  (ref: C, T, Cdot, Tdot, R, Rdot)
[7] eq4'': diff(diff(0 = C - u(t)))  (ref: C, Cdot, Cdotdot)


Variable C is NOT ASSIGNED.
Variable T is NOT ASSIGNED.
Variable Cdot is assigned to equation eq1, 'Cdot = K(C0 - C) -R'
Variable Tdot is assigned to equation eq3', 'diff(0 = R - K3 exp(-K4 / T) C)'
Variable R is assigned to equation eq3, '0 = R - K3 exp(-K4 / T) C'
Variable Tc is assigned to equation eq2, 'Tdot = K1(T0 - T) + K2 R - K3 (T - Tc)'
Variable Cdotdot is assigned to equation eq4'', 'diff(diff(0 = C - u(t)))'
Variable Rdot is assigned to equation eq1', 'diff(Cdot = K(C0 - C) -R)'

ASSIGN = (0,0,eq1,eq3',eq3,eq2,eq4'',eq1')

M = 8
N = 8
Initial values required: 0
(plus 4 conditions corresponding to the equations which were differentiated)
Differentiated vars: C, T, Cdot, R