Find the field lines of F(x,y,z)=(2x/z)i+(2y/z)j+((x^2+y^2)/z^2)k I've used dx/F1=dy/F2=dz/F3 And gotten the first solution to the differential equation 1: dx/F1=dy/F2 as: y=Bx, where B= e^C (a constant) My problem is when i try to find the solution to the differential equation: dy/F2=dz/F3 dy/(2y/z)=dz/(((x^2+y^2)/z^2))

Question

Find the field lines of F(x,y,z)=(2x/z)i+(2y/z)j+((x^2+y^2)/z^2)k

I've used dx/F1=dy/F2=dz/F3
And gotten the first solution to the differential equation 1: dx/F1=dy/F2 
as: y=Bx, where B= e^C (a constant)
My problem is when i try to find the solution to the differential equation: dy/F2=dz/F3 <=> dy/(2y/z)=dz/(((x^2+y^2)/z^2))

mathmale · Answer

I've found it very useful to do Internet searches when I'm stuck on something like this. I did just that, just now, and came up with the following: http://tutorial.math.lamar.edu/Classes/CalcIII/VectorFields.aspx Hope you can find useful material at this site.

anonymous · Answer

sorry im looking for the integral curves

anonymous · Answer

i can't seem to find what im looking for on that page