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newbie help

  • To: mathgroup at smc.vnet.net
  • Subject: [mg107641] newbie help
  • From: lorrainetx <lorraine.ramos at gpisd.org>
  • Date: Sun, 21 Feb 2010 04:24:11 -0500 (EST)

I've never worked with this program before and I'm having trouble
getting it to do what I want it to do. If there is a good resource to
help translate the math to programing help it would be appreciated.
This is what I'm working on:(I can upload my notebook if it is easier
to help see what I did wrong)
Solve the differential equation x' sin (x).
   sol = DSolve[x'[t] == Sin[x[t]], x[t], t] // FullSimplify // Quiet

\[Phi][t_, c_] := x[t] /. sol[[1]] /. C[1] -> c
\[Phi][t, c]

sol = DSolve[x'[t] == x[t]^2, x[t], t] // FullSimplify // Quiet

\[Phi][t_, c_] := x[t] /. sol[[1]] /. C[1] -> c
\[Phi][t, c]

Manipulate[
 Plot[{\[Phi][t, c], 0}, {t, -3, 3},
  PlotStyle -> {Blue, {Red, Thick}}, PlotRange -> {-3, 3}], {c, -1,
  1}]

plot = VectorPlot[{1, x}, {t, 0, 10}, {x, -10, 10},
   VectorScale -> 0.04];

Show[plot, Frame -> True, AspectRatio -> Automatic]

My graphs are not working right.


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