Help Solve a Puzzle: Read Figure Below

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Hi all.
Please kindly read the figure below and see if you can help me. Thanks.
 

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please help...
 
Both methods are perfectly valid, resulting in solutions with different properties. There are an infinite number of solitoids with height 0.1. What other properties do you want it to have?
 
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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