VectorPlot[{1, -(2/t)y+4t}, {t,-2,2}, {y,-2,4},

VectorPoints->30,
VectorScale->{Automatic,Automatic,None},
VectorStyle->Arrowheads[0]]

Plot[(t^2)+(1/(t^2)), {t,-2,2}, PlotRange->{-2,4}]