) at each point:We want to make a plot of
in the Θ-τ plane. We can do so by plotting vectors of the form {dτ, dΘ} = dτ{1, 
} which will be proportional to the vector {1, 1-Θ}. This is done as follows:
Geometry of Flows of First-Order ODEs: Vector Fields (Simple Example: Newton's Law of Cooling)
Plot the vector (dτ,dΘ) = dτ(1, ) at each point:
We want to make a plot ofin the Θ-τ plane. We can do so by plotting vectors of the form {dτ, dΘ} = dτ{1, } which will be proportional to the vector {1, 1-Θ}. This is done as follows:
Note in the equations and the plot that
is independent of τ.
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