VectorPlot3D[{-10*x +10*y,28*x+5/3*y,-8/3*z},{x,-1,1},{y,-1,1},{z,-1,1}]

problem 6.1.

ParametricPlot[{Sin[t], Sin[2*t]}, {t,-5,5}]

ParametricPlot3D[{ (E^(12*u ))+(E^(-23*u )),2*(E^(12*u ))+(E^(-23*u )),(E^(-3*u ))},{u,-1,1}]

VectorFieldPlot[{x+y,4*x+y}, {x, -3, 3}, {y, -3, 3},Axis->True]

VectorPlot[{x+y,4*x+y}, {x, -3, 3}, {y, -3, 3}]

StreamPlot[{x+y,4*x+y}, {x, -3, 3}, {y, -3, 3}]

sedlo

Table[StreamPlot[{x+y,4*x+y},{x,-3,3},{y,-3,3},StreamScale->None, PlotLabel->p, StreamPoints->p],{p,{Coarse, Medium, Automatic, Fine}}]

StreamPlot[{x+y,4*x+y},{x,-3,3},{y,-3,3},StreamPoints->{{{{0,1},Red},{{1,1},Green},Automatic}}]

Needs["VectorFieldPlots`"]

VectorPlot[{-3*x+(Sqrt[2])*y,(Sqrt[2])*x-2*y}, {x, -3, 3}, {y, -3, 3}]

StreamPlot[{-3*x+(Sqrt[2])*y,(Sqrt[2])*x-2*y}, {x, -3, 3}, {y, -3, 3}]

čvor

VectorPlot[{y,-Sin[x]}, {x, -2π, 2π}, {y, -5, 5}]

StreamPlot[{y,-Sin[x]},{x,-2 π,2 π},{y,-5,5}]

StreamPlot[{y,-Sin[x]}, {x, -2π, 2π}, {y, -5, 5},StreamStyle->LightGray,VectorPoints->8,VectorScale->Automatic]

StreamPlot[{y,-Sin[x]}, {x, -2π, 2π}, {y, -5, 5},StreamPoints->{{{{-5,3},Red},{{-1,-1},Green},Automatic}}]

StreamPlot[{-3*x+(Sqrt[2])*y,(Sqrt[2])*x-2*y}, {x, -3, 3}, {y, -3, 3}]

StreamPlot[{-3*x+(Sqrt[2])*y,(Sqrt[2])*x-2*y}, {x, -300, 300}, {y, -300, 300}]

nelinearne jednacine klatna, w=gama=1

StreamPlot[{y,-Sin[x]-y},{x,π/2,3 π/2},{y,-2,2}]

linearizacija u (pi,0)

StreamPlot[{y,x-y},{x,-π/2,π/2},{y,-2,2}]

nelinearne jednacine klatna, w=gama=1, dve fiksne tacke

StreamPlot[{y,-Sin[x]-y},{x,-π/2,3 π/2},{y,-2,2}]

StreamPlot[{y,-Sin[x]-y},{x,-π/2,3 π/2},{y,-1,1}]

StreamPlot[{y,-Sin[x]-y},{x,-π/2,3 π/2},{y,-3,3}]

StreamPlot[{y,-Sin[x]-y},{x,-3π/2,5 π/2},{y,-20,20}]