6.1.23 The equation of motion of a mass m relative to a rotating coordinate system is m- d²r d12 dr [ = F - mw × (w x r) - 2m ( w x 1/1 ) -m (da xr). Consider the case F = 0, r = x + ŷy, and w= wz, with a constant. Show that the replacement of r = x +ŷy by z=x+iy leads to d²z d12 dz +12ww²=0. - dt Note. This ODE may be solved by the substitution z = fe-im