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Differential EquationsEasyExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Easy problem

Find the smallest constant LL such that f(t,y)=3sin⁡y+t2f(t, y) = 3\sin y + t^2 satisfies ∣f(t,y1)−f(t,y2)∣≤L ∣y1−y2∣|f(t, y_1) - f(t, y_2)| \le L\,|y_1 - y_2| for all t,y1,y2t, y_1, y_2.