a) Equilibrium Solutions

> EQUILeqns := { rhs( ode1 ) = 0, rhs( ode2 ) = 0 } ;

[Maple Math]

> EQUILsoln := solve( EQUILeqns, VAR ) ;

[Maple Math]
[Maple Math]

The Maple output is a little messy. The equilibrium solutions are (easily) seen to be the origin (0,0) and the unit circle ( [Maple Math] ).

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