Hello,

I'd already posted this problem on the sage-support mailing list, but
the issue could not be resolved. As it appears to be a bug, I am
cross-posting to this list.

[Please find the original thread on sage-support at
https://groups.google.com/group/sage-support/browse_thread/thread/39b019cd51270574]

When trying to run the following code to solve a sytem of ODEs, sage
spawns an error message:

------------------------------
t = var ('t')

S_0 = 1.5
X_0 = 0.05
Y_XS = 0.5
K_S = 0.007
mu_max = 0.8

X = function ('X', t)
S = function ('S', X)

def mu (S):
    return (mu_max * S) / (K_S + S)

dXdt = diff (X, t) == mu (S) * X
dSdt = diff (S, t) == -mu (S) * X / Y_XS

desolve_system ([dXdt, dSdt], [X, S], ics = [0, X_0, S_0])
------------------------------


Traceback:

------------------------------
Traceback (most recent call last):    Y_XS = 0.5
  File "", line 1, in <module>

  File "/tmp/tmpS9OrMD/___code___.py", line 22, in <module>
    exec compile(u'desolve_system ([dXdt, dSdt], [X, S], ics =
[_sage_const_0 , X_0, S_0])
  File "", line 1, in <module>

  File "/opt/sage/local/lib/python2.6/site-packages/sage/calculus/desolvers.py",
line 628, in desolve_system
    dvar.atvalue(ivar==ivar_ic, ic)
  File "/opt/sage/local/lib/python2.6/site-packages/sage/interfaces/expect.py",
line 1408, in __call__
    return self._obj.parent().function_call(self._name, [self._obj] +
list(args), kwds)
  File "/opt/sage/local/lib/python2.6/site-packages/sage/interfaces/expect.py",
line 1316, in function_call
    return self.new(s)
  File "/opt/sage/local/lib/python2.6/site-packages/sage/interfaces/expect.py",
line 1097, in new
    return self(code)
  File "/opt/sage/local/lib/python2.6/site-packages/sage/interfaces/expect.py",
line 1032, in __call__
    return cls(self, x, name=name)
  File "/opt/sage/local/lib/python2.6/site-packages/sage/interfaces/expect.py",
line 1451, in __init__
    raise TypeError, x
TypeError: Error executing code in Maxima
CODE:
        sage15 : atvalue(sage9,sage13,sage14)$
Maxima ERROR:
        
Improper argument to atvalue:
['X(t)]
 -- an error. To debug this try: debugmode(true);
------------------------------

This is sage 4.5.2 on Linux x86.

If further (debugging) info is required, please let me know.


Best regards,

    Richard

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