Noting that ydot = diff(y)
Noting that zdot = diff(z)
Noting that wdot = diff(w)
Noting that xdot = diff(x)
STARTING PANTELIDES!


Variables: [0] x, [1] y, [2] w, [3] z, [4] xdot, [5] ydot, [6] wdot, [7] zdot, [8] T

Equations: 
[0] eq1: xdot=w  (ref: w, xdot)
[1] eq2: ydot=z  (ref: z, ydot)
[2] eq3: wdot = T x  (ref: x, wdot, T)
[3] eq4: zdot = T y - g  (ref: y, zdot, T)
[4] eq5: 0 = x ^2 + y ^2 - L ^2  (ref: x, y)


There are 5 equations in 5 variables (plus 4 derivatives)

Outer loop: equation k = eq1
Deleting edge {eq3-x}
Deleting edge {eq5-x}
Deleting variable x
Deleting edge {eq4-y}
Deleting edge {eq5-y}
Deleting variable y
Deleting edge {eq1-w}
Deleting variable w
Deleting edge {eq2-z}
Deleting variable z
      Coloured equation eq1
      ASSIGNing variable xdot to equation eq1
Outer loop: equation k = eq2
      Coloured equation eq2
      ASSIGNing variable ydot to equation eq2
Outer loop: equation k = eq3
      Coloured equation eq3
      ASSIGNing variable wdot to equation eq3
Outer loop: equation k = eq4
      Coloured equation eq4
      ASSIGNing variable zdot to equation eq4
Outer loop: equation k = eq5
      Coloured equation eq5
Created equation eq5', diff(0 = x ^2 + y ^2 - L ^2)
  Checking edge {eq5-x}, 4 0
  Adding new edge {eq5',xdot}
  Adding new edge {eq5',x}
  Checking edge {eq5-y}, 4 1
  Adding new edge {eq5',ydot}
  Adding new edge {eq5',y}
Set current equation to (i=5) eq5'
      Coloured equation eq5'
      Coloured variable xdot (4)
      Coloured equation eq1
      Coloured variable ydot (5)
      Coloured equation eq2
Created variable xdotdot (9)
Created variable ydotdot (10)
Created equation eq1', diff(xdot=w)
  Checking edge {eq1-w}, 0 2
  Adding new edge {eq1',wdot}
  Adding new edge {eq1',w}
  Checking edge {eq1-xdot}, 0 4
  Adding new edge {eq1',xdotdot}
  Adding new edge {eq1',xdot}
Created equation eq2', diff(ydot=z)
  Checking edge {eq2-z}, 1 3
  Adding new edge {eq2',zdot}
  Adding new edge {eq2',z}
  Checking edge {eq2-ydot}, 1 5
  Adding new edge {eq2',ydotdot}
  Adding new edge {eq2',ydot}
Created equation eq5'', diff(diff(0 = x ^2 + y ^2 - L ^2))
  Checking edge {eq5'-x}, 5 0
  Adding new edge {eq5'',xdot}
  Adding new edge {eq5'',x}
  Checking edge {eq5'-y}, 5 1
  Adding new edge {eq5'',ydot}
  Adding new edge {eq5'',y}
  Checking edge {eq5'-xdot}, 5 4
  Adding new edge {eq5'',xdotdot}
  Adding new edge {eq5'',xdot}
  Checking edge {eq5'-ydot}, 5 5
  Adding new edge {eq5'',ydotdot}
  Adding new edge {eq5'',ydot}
Assigning xdotdot to eq1'
Assigning ydotdot to eq2'
Set current equation to (i=8) eq5''
Deleting edge {eq1-xdot}
Deleting edge {eq5'-xdot}
Deleting edge {eq1'-xdot}
Deleting edge {eq5''-xdot}
Deleting variable xdot
Deleting edge {eq2-ydot}
Deleting edge {eq5'-ydot}
Deleting edge {eq2'-ydot}
Deleting edge {eq5''-ydot}
Deleting variable ydot
      Coloured equation eq5''
      Coloured variable xdotdot (9)
      Coloured equation eq1'
      Coloured variable wdot (6)
      Coloured equation eq3
      ASSIGNing variable T to equation eq3
      ASSIGNing variable wdot to equation diff(xdot=w)
      ASSIGNing variable xdotdot to equation diff(diff(0 = x ^2 + y ^2 - L ^2))


PANTELIDES COMPLETED


Variables: [0] x, [1] y, [2] w, [3] z, [4] xdot, [5] ydot, [6] wdot, [7] zdot, [8] T, [9] xdotdot, [10] ydotdot

Equations: 
[0] eq1: xdot=w  (ref: w, xdot)
[1] eq2: ydot=z  (ref: z, ydot)
[2] eq3: wdot = T x  (ref: x, wdot, T)
[3] eq4: zdot = T y - g  (ref: y, zdot, T)
[4] eq5: 0 = x ^2 + y ^2 - L ^2  (ref: x, y)
[5] eq5': diff(0 = x ^2 + y ^2 - L ^2)  (ref: x, y, xdot, ydot)
[6] eq1': diff(xdot=w)  (ref: w, xdot, wdot, xdotdot)
[7] eq2': diff(ydot=z)  (ref: z, ydot, zdot, ydotdot)
[8] eq5'': diff(diff(0 = x ^2 + y ^2 - L ^2))  (ref: x, y, xdot, ydot, xdotdot, ydotdot)


Variable x is NOT ASSIGNED.
Variable y is NOT ASSIGNED.
Variable w is NOT ASSIGNED.
Variable z is NOT ASSIGNED.
Variable xdot is assigned to equation eq1, 'xdot=w'
Variable ydot is assigned to equation eq2, 'ydot=z'
Variable wdot is assigned to equation eq1', 'diff(xdot=w)'
Variable zdot is assigned to equation eq4, 'zdot = T y - g'
Variable T is assigned to equation eq3, 'wdot = T x'
Variable xdotdot is assigned to equation eq5'', 'diff(diff(0 = x ^2 + y ^2 - L ^2))'
Variable ydotdot is assigned to equation eq2', 'diff(ydot=z)'

ASSIGN = (0,0,0,0,eq1,eq2,eq1',eq4,eq3,eq5'',eq2')

M = 11
N = 9
Initial values required: 2
(plus 4 conditions corresponding to the equations which were differentiated)
Differentiated vars: x, y, w, z, xdot, ydot