How are partial differential equations used to model physical systems?

hazzzon
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Plese give me silminer simple example or anther example on this case or explein the steps
 

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The first 2 pages are almost uninteligible and seem unrelated to the content of page 3. So what exactly do you want ?
 
hi my frind ples tel my the eplen of all step this is PDE VARATION OF PARAMETER
 
Yes just i neeed explen varatin of parameter in pde
 
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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