Question: How to solve a system of two normal equations and two ODE's in Maple 18?

I have the following system I need to solve:

 

dy(t)/dt = alpha(t)-y(t)

alpha(t)=alpha0*(x(t)-x0)

dx(t)/dt=y(t)-beta(t)

beta(t)=beta0*(x(t)-x0)

 

 I am trying to get functions of y(t) and x(t), so I can plot y(t), x(t) and alpha(t) as it changes over time.

 

I have tried using dsolve to no effect.  I define the inital conditions, I define the functions I am looking for and when I press enter dsolve doesn't return anything.  I also know all the constants and defined them as well.

 

 

 

Thank you.

 

 

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