First Order Differential Equation in Cylindrical Coordinates

Auburnman
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Consider cylindrical coordinates p = (x^2 + y^2)^.5  angle = arctan(y=x). Consider
your curve to be specifi ed by z(p). Write down a ( first order) diff erential equation
governing z(p)

please help!
 
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Before anyone can provide any help, you need to show that you have made an effort.
 
ok well i don't even know where to begin so its alittle hard to attempt a problem to prove you have tried it if u don't know where to start
 
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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