$3.$ A solution curve in the $\backslash ($ x y $\backslash )-$plane and an initial condition on that curve are specified in the drawings below. Sketch the $\backslash ($ x$($t$)\backslash )$ and $\backslash ($ y$($t$)\backslash )$ component graphs for the solution.

$($a$)$

$($b$)$

$($c$)$