Hell to everyone!

I have defined the following two functions.

x2=function('x2',t)
x1=function(''x1',t)

and then i am trying to solve the following system

solve([x1==integral(x2),k*x1+diff(x2,t)==0],diff(x1,t),diff(x2,t))

getting the following response.

Exception (click to the left for traceback):
...
TypeError: cannot coerce type '<class
'sage.calculus.equations.SymbolicEquation'>' into a
SymbolicExpression.

I guess that the reason for this is that
diff((x1==integral(x2)),t)

returns with the same output message
Exception (click to the left for traceback):
...
TypeError: cannot coerce type '<class
'sage.calculus.equations.SymbolicEquation'>' into a
SymbolicExpression.


even though that
diff(integral(x2),t) returns with x2.

So i am wondering, is there a way to force sage to differentiate a
symbolic expression?
MTIA

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