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m_goldberg
m_goldberg
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Plot integration curve of ODE with 3 variablesa system of ODEs

I'm really n00b in MathematicaMathematica, so please barebear with me, as this isseems to be my only option to learn how to do those things..what I wany to do. So, I've

I have a setsystem of two differential equations, with 3 variables:

y' = y'=v[t]v[t]
v'[t] = v'[t]=-a^2y

Now, assuming I know the solution of this setsystem is: y=cos(at), v=-asin(at). I$y = cos(a\,t),\ v = -a\,sin(a\,t)$, I want to plot the integral curve of the two, on the v-y surface, with ata t getting values from 0 to 2*pai2 π. I've

I've tried any combinationvarious combinations of StreamPlot, VectorPlot and many other functions, without any success, although I think itit's suppose to be really simple. I've I've tried also to make a plot it in 3D with 3DVectorPlotVectorPlot3D, but to no avail. I'll

I'll appreciate any help.

Plot integration curve of ODE with 3 variables

I'm really n00b in Mathematica, so please bare with me, this is my only option to learn how to do those things... So, I've a set of two differential equations, with 3 variables:

  y'=v[t]
  v'[t]=-a^2y

Now, assuming I know the solution of this set is: y=cos(at), v=-asin(at). I want to plot the integral curve of the two, on the v-y surface, with at getting values from 0 to 2*pai. I've tried any combination of StreamPlot, VectorPlot and many other functions, without any success, although I think it suppose to be really simple. I've tried also to plot it in 3D with 3DVectorPlot, but no avail. I'll appreciate any help.

Plot integration curve of a system of ODEs

I'm really n00b in Mathematica, so please bear with me, as this seems to be my only option to learn how to do what I wany to do.

I have a system of two differential equations:

y' = v[t]
v'[t] = -a^2y

Now, assuming I know the solution of this system is: $y = cos(a\,t),\ v = -a\,sin(a\,t)$, I want to plot the integral curve of the two, on the v-y surface, with a t getting values from 0 to 2 π.

I've tried various combinations of StreamPlot, VectorPlot and many other functions, without any success, although I think it's suppose to be really simple. I've tried also to make a plot in 3D with VectorPlot3D, but to no avail.

I'll appreciate any help.

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Bak Itzik
Bak Itzik
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Plot integration curve of ODE with 3 variables

I'm really n00b in Mathematica, so please bare with me, this is my only option to learn how to do those things... So, I've a set of two differential equations, with 3 variables:

  y'=v[t]
  v'[t]=-a^2y

Now, assuming I know the solution of this set is: y=cos(at), v=-asin(at). I want to plot the integral curve of the two, on the v-y surface, with at getting values from 0 to 2*pai. I've tried any combination of StreamPlot, VectorPlot and many other functions, without any success, although I think it suppose to be really simple. I've tried also to plot it in 3D with 3DVectorPlot, but no avail. I'll appreciate any help.