Method of Undetermined Coefficients

belal.rawi
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[PLAIN]http://www.undeclaredcomics.com/wp-content/uploads/2011/06/rsz_2011-06-06-everyone-gets-it-except-you.png
 
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The question?
 
I don't think there is one. The comic isn't even funny...so I don't get the purpose of the post.
 
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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