Föreläsning 15

Idag

Vektorfält

Potentialer

Exempel

Några vektorfält

VectorPlot[{x^2*y,x*(y-x)},{x,0,1},{y,0,1}]

VectorPlot[{-x/(x^2+y^2)^(3/2),-y/(x^2+y^2)^(3/2)},{x,0.5,2},{y,0.5,2}]

VectorPlot[{-x,-y},{x,-2,2},{y,-2,2}]

VectorPlot[{-y,x},{x,-2,2},{y,-2,2}]

Ex

VectorPlot[{2*x*y,x^2+1},{x,-1,1},{y,-1,1}]

Ex

VectorPlot[{x,y},{x,-2,2},{y,-2,2}]

Ex

VectorPlot[{-y,x},{x,-2,2},{y,-2,2}]

Ex

VectorPlot[{-x/(x^2+y^2)^(3/2),-y/(x^2+y^2)^(3/2)},{x,-1,1},{y,-1,1}]

Förklaring?

Ex

VectorPlot3D[{y,x,1},{x,-1,1},{y,-1,1},{z,-1,1}]

VectorPlot3D[{x,-z,y},{x,-1,1},{y,-1,1},{z,-1,1}]