Consider the vector field $\vec v = -2 x\vec i + 2 y\vec j$. On a sheet of paper, sketch the vector field and the flow.

(a) After sketching the vector field and flow, find the system of differential equations associated with the vector field:
$x' =$
$y' =$

(b) Solve the system you found above to find the flow
$x(t) =$
$y(t) =$
(Your solution for $x$ should involve a constant $a$, and for $y$ a constant $b$.)