Section 16.1: Examples
MAT329, Fall, 2015
Andy Long

Clear[x,y,t];

#36, p. 1086: Note: we should assume that the field F is a velocity field, per #35. That means that r’[t]=<x’(t),y’(t)>=F[x(t),y(t)].

Show[
{
VectorDensityPlot[{1,x },{x,-4,4},{y,-4,4}]
,Plot[x^2/2,{x,0,3}]
}
]

Show[
{
VectorDensityPlot[{1,x },{x,-4,4},{y,-4,4}]
,Plot[x^2/2,{x,0,3}]
,Plot[x^2/2-4,{x,0,3}]
,Plot[x^2/2-2,{x,0,3}]
,Plot[x^2/2+2,{x,0,3}]
}
]