Re: Question about how to graph the vector field for the
- To: mathgroup at smc.vnet.net
- Subject: [mg97950] Re: Question about how to graph the vector field for the
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 26 Mar 2009 05:23:08 -0500 (EST)
- References: <gqacvk$jfv$1@smc.vnet.net>
Hi, StreamPlot[{x, 2 x - y}, {x, -3, 3}, {y, -3, 3}] ? Regards Jens Bob Hanlon wrote: > Clear[y] > > y[c_][x_] = > y[x] /. > DSolve[y'[x] == 2 x - y[x], y[x], x][[1]] /. > C[1] :> c > > c E^-x+2 (x-1) > > D[y[c][x], x] == 2 x - y[c][x] // Simplify > > True > > Plot[ > Evaluate[ > Table[ > Tooltip[y[c][x]], > {c, -3, 5}]], > {x, -1/2, 3}] > > Plot3D[y[c][x], {x, -1/2, 3}, {c, -3, 5}] > > Manipulate[ > Plot[y[c][x], {x, -1/2, 3}, > PlotRange -> {-8, 5}], > {c, -3, 5}] > > > > Bob Hanlon > > > On Mon, Mar 23, 2009 at 7:35 AM , jo1e984 at gmail.com wrote: > >> i need to graph the vector field and the family of solutions for the >> DE: dy/dx=2x-y >> and i tried the graph the vector field, but while i tried to use the >> VectorFieldPlot it show up some kind of wierd graph... >> and i cannot even get start on the "family of Solutions" >> graph...searched online but still cannot figure out. >> hope some pros can help me out on this...thx alot~!! >> Bluefly >