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### How to plot field lines in sage

I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?

### How to plot field lines in sage

I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?

Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field.

### How to plot field lines in sage

I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?

Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field.field for example: let $\vec{r}(x,y) = (x,y)$, $\vec{E_1} = \frac{\vec{r}}{|r|^{\frac{3}{2}}}$ and $\vec{E_2}(x,y) = \vec{E_1}(x-1,y)$

Then I want to plot the field lines of $\vec{E} = \vec{E_1} + \vec{E_2}$

### How to plot field lines in sage

I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?

Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let $\vec{r}(x,y) = (x,y)$, $\vec{E_1} = \frac{\vec{r}}{|r|^{\frac{3}{2}}}$ and $\vec{E_2}(x,y) = \vec{E_1}(x-1,y)$

Then I want to plot the field lines of $\vec{E} = \vec{E_1} + \vec{E_2}$

The field line plot should look similar to this one:

### How to plot field lines in sage

I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage?

Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let $\vec{r}(x,y) = (x,y)$, $\vec{E_1} = \frac{\vec{r}}{|r|^{\frac{3}{2}}}$ \frac{\vec{r}}{|r|^{3}}$and$\vec{E_2}(x,y) = \vec{E_1}(x-1,y)$Then I want to plot the field lines of$\vec{E} = \vec{E_1} + - \vec{E_2}$The field line plot should look similar to this one: ### How to plot field lines in sage I want to plot the field lines of an electric field, take for example that of an electric dipole. How can I do this in sage? Edit: Perhaps my question was formulated too much in physicist slang... Mathematically I just want to plot the integral curves of a vector field for example: let$\vec{r}(x,y) = (x,y)$,$\vec{E_1} = \frac{\vec{r}}{|r|^{3}}$and$\vec{E_2}(x,y) = \vec{E_1}(x-1,y)$Then I want to plot the field lines of$\vec{E} = \vec{E_1} - \vec{E_2}\$

The field line plot should look similar to this one:

I think in mathematica this is called a stream plot: http://reference.wolfram.com/mathematica/ref/StreamPlot.html