how to parametrize this curve

Question:how to parametrize this curve

Posted: LeeHoYeung 535 Product: Maple

October 21 2013

eqt := y^5+y^4 + -0.5109*y^3 + -0.0595*y^2 + 0.0000-(-3.1086e-015*u^4 + u^3 + -0.5109*u^2 + -0.0595*u) = 0;

solve({eqt, y=m*t+c, u=n*t+d}, {y, u}, 'parametric');

solve({y^5+y^4 + -0.5109*y^3 + -0.0595*y^2 + 0.0000-(-3.1086e-015*u^4 + u^3 + -0.5109*u^2 + -0.0595*u) = 0, u=t}, [x,y]);

solve(eqt, [y(t), u(t)])

algcurves[parametrization](eqt, y, u, t);

all trials i failed

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