Thread: Field Lines of 3-D vector Functions

1. Field Lines of 3-D vector Functions

Hi,

I have been asked to find the field lines of the 3-D vector function:

F(x,y,z) = xyi +(y^2 +1)j + zk

I missed my Math lab due to illness and am finding myself completely stumped on this one. If I recall correctly, the field lines of a 2-D vector function are found from integrating r'(t). I would be very grateful if someone could explain the steps and method used to answer this.

Thank you in advanced.

2. Originally Posted by olski1
Hi,

I have been asked to find the field lines of the 3-D vector function:

F(x,y,z) = xyi +(y^2 +1)j + zk

I missed my Math lab due to illness and am finding myself completely stumped on this one. If I recall correctly, the field lines of a 2-D vector function are found from integrating r'(t). I would be very grateful if someone could explain the steps and method used to answer this.

Thank you in advanced.
Solve the following simultaneously:

dx/dt = xy.

dy/dt = y^2 + 1.

dz/dt = z.