Re: Question about how to graph the vector field for the

*To*: mathgroup at smc.vnet.net*Subject*: [mg97885] Re: [mg97836] Question about how to graph the vector field for the*From*: Bob Hanlon <hanlonr at cox.net>*Date*: Tue, 24 Mar 2009 05:34:48 -0500 (EST)*Reply-to*: hanlonr at cox.net

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