(a) -- Equilibrium Solutions
> EQUILeqns := { rhs( ode1 ) = 0, rhs( ode2 ) = 0 } ;
> EQUILsoln := solve( EQUILeqns, VAR ) ;
The equilibrium solutions are (0,0) and all points on the unit circle ( x^2+y^2=1).
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![[Maple Math]](images/homework53.gif){kind=small}
![[Maple Math]](images/homework54.gif){kind=small}