- #1

Suy

- 101

- 0

**Show a flowline of a vector field??**

## Homework Statement

Consider the vector field F(x,y,z)=(8y,8x,2z).

Show that r(t)=(e

^{8t}+e

^{−8t}, e

^{8t}−e

^{−8t}, e

^{2t}) is a flowline for the vector field F.

r'(t)=F(r(t)) = (_,_,_)

Now consider the curve r(t)=(cos(8t), sin(8t), e

^{2t}) . It is not a flowline of the vector field F, but of a vector field G which differs in definition from F only slightly.

G(x,y,z)=(_,_,_)

## Homework Equations

## The Attempt at a Solution

I guess the first part of the question r'(t)=F(r(t)) = (8e

^{8t}-8e

^{-8t},8e

^{8t}-8e

^{-8t},2e

^{2t})

For the second part, I don't understand the question... hope someone can explain to me?