I am interested on the phase portrait of linear and nonlinear differential equations using Mathematica. In particular, I want to plot the phase portrait of the following differential equations:
$\displaystyle\frac{dx_{1}}{dt}=-3x_{1}+2x_{2} $,
$\displaystyle\frac{dx_{2}}{dt}=x_{2} $.
I have been able to construct the phase portrait of these equations using the Streamplot command, that is to say,
curve = StreamPlot[{(-3*x_{1}) + (2*x_{2}), -x_{2}}, {x_{1}, -0.3, 0.3}, {x_{2}, -0.3, 0.3}]
However, it looks like this command does not allow me to format the output figures. Attached below, you may find a notebook with my doubts.Based on the above:
How may I especificy the axis label? In particular, I want to format the phase portrait using the following
AxesLabel -> (Style[#, Black, 20, Bold] & /@ {"\!\(\*SubscriptBox[\(x\), \(1\)]\)", "\!\(\*SubscriptBox[\(x\), \(2\)]\)"}), TicksStyle -> Directive[Bold, Black]
Are there other ways to construct the phase portrait using Mathematica?
Thanks in advance
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