(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

So the last thing we got to learn before studying for finals ......

2. Relevant equations

... was converting something like

dx/dt = F(x,y)

dy/dt = G(x,y)

into a ....

3. The attempt at a solution

... system of equations like (x' y')^{T}=J* (x y)^{T},

whereJis the Jacobian Matrix [ (∂F/∂x ∂G/∂x)^{T}, (∂D/∂y ∂G/∂y)^{T}].

I'm just wondering why exactly that works. Could someone show me a proof or something? Being the weird dude I am, I need to know these things.

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# Homework Help: Could someone please explain this? (HW-related)

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