Gerschgorins theorem in eigenvalue problem

raymondp44
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Hi. I was wondering if anyone can give me advice on how to answer the following question.

Use Gerschgorin's theorem to show the effect of increasing the size of the matrix in your solution to the eigenvalue problem: y''+lambda*y=0 y(0)=y(1)=0

Thanks

Main issue is that I don't really know how to solve the eigenvalue problem.
 
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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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