Hi Paritosh Hebbal,

I think the parametric equations probably look something like as follows:

x(t) = -3 e^(-0.05 t) [0.0500627 sin(0.998749 t) + cos(0.998749 t)]

y(t) = -1.14812×10-7 e^(-0.05 t) [cos(0.998749 t) - 2.61624×107 sin(0.998749 t)]

t = 20:0.1:40;

x = t.*cos(t);

y = t.*sin(t)

plot(x,y)

The curve parametrized with parameter u:

x(u) = r*u*cos(u)

y(u) = r*u*sin(u) .

Play around with the values of u to get desired spiral.