- #1
MathematicalPhysics
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Hello, I'm considering the system:
dx/dt=y-x
dy/dt=x-y
I've found the fixed points and shown that this is a first integral of the system:
f(x,y)=x+y
How can I (using this information only) sketch a phase portrait? I know the graph of fixed points looks like the x=y graph, but I am not sure how this relates to a phase portrait.
Any help? Thanks.
dx/dt=y-x
dy/dt=x-y
I've found the fixed points and shown that this is a first integral of the system:
f(x,y)=x+y
How can I (using this information only) sketch a phase portrait? I know the graph of fixed points looks like the x=y graph, but I am not sure how this relates to a phase portrait.
Any help? Thanks.