Existence, Uniqueness & Bifurcations · Easy problem

Find the smallest constant $L$ such that $f(t, y) = t y^2$ satisfies the Lipschitz condition $|f(t, y_1) - f(t, y_2)| \le L\,|y_1 - y_2|$ for all points of the rectangle $0 \le t \le 2$, $-3 \le y \le 3$.