Consider the vector field $F(x,y,z) = (8y, 8x, 4z)$.
Show that $\mathbf{r}(t) = (e^{8t} + e^{-8t}, e^{8t} - e^{-8t}, e^{4t})$ is a flowline for the vector field $F$.
That is, verify that (I trust you here)
$\mathbf{r'}(t) = F(\mathbf{r}(t)) = ($ , , $)$.

Now consider the curve $\mathbf{r}(t) = (\cos(8t), \sin(8t), e^{4t})$. It is not a flowline of the vector field $F$, but of a vector field $G$ which differs in definition from $F$ only slightly.
$G(x,y,z) = ($ , , $)$.

Your overall score for this problem is