plot the implicit function

Is there anybody willing to help me with the method of plot.
please show me the command lines to plot the implicit function  
"x^4+y^3=x^2+y"
and
"x=(sin[t])^3   y=(cos[t])^3  t :[0,2*pi] "
I can learn how to plot implicit functions from your command lines.

This would appear on the face of it to be a homework question either  
assigned as such or possibly disguised as a plotting problem. Homework  
is discouraged in this list.

If you are not a student then identifying yourself and describing you  
research goal is considered good form on this list.

David Winsemius, MD
West Hartford, CT