Hi,
I am using sage 5.6 on cantor 0.3. I am working on trying to find the
eigenvalues, and vectors for a damped harmonic oscillator. I am using the
form using the undamped angular
frequency<http://en.wikipedia.org/wiki/Angular_frequency>of the oscillator, and
damping ratio.
code:
'define in variables'
c,k,l,m,x,y,u,v,xdot,ydot,udot,vdot =
var('c,k,l,m,x,y,u,v,xdot,ydot,udot,vdot', domain = RR)
I = var('I', domain = QQ)
'undamped angular frequency'
s = c/(2*sqrt(m*k))
'damping ratio'
wo=sqrt(k/m)
'first ode equations for the damping oscillator'
xdot = u;
ydot = v;
-udot = 2*s*wo*u+(wo^2)*x;
-vdot = 2*s*wo*v+(wo^2)*y;
I get an error at this point:
------------------------------------------------------------
File "<ipython console>", line 1
SyntaxError: can't assign to operator (<ipython console>, line 1)
------------------------------------------------------------
File "<ipython console>", line 1
SyntaxError: can't assign to operator (<ipython console>, line 1)
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