Using Z transforms to solve difference equations.

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Uan
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Hi,

We can use Laplace transforms to solve DEs with these guys:

eq0002M.gif


But what are the z transform versions in discrete time that include initial conditions, and how do you derive them? For example y[n+1], y[n+2] etc.

Thanks
 
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Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
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