What Is Orthogonal Trajectory?

e4dragon
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I have a test tomorrow and the book does not even explain it that well. Than You
 
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Welcome to PF!

Hi e4dragon! Welcome to PF! :smile:

"In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles."​

For more detail, see http://en.wikipedia.org/wiki/Orthogonal_trajectory

Is there anything particular you don't understand about orthogonal trajectories? :smile:
 
i understand it now, sort of. thank you
 
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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