Math 44 – Differential Equations
the derivatives of f with respect to y (or all the coordinates of F . with respect to all the coordinates of Y) are all continuous. Then if. any two solutions whose graphs stay in the region agree at a single . point, they agree everywhere. (Stronger: Same conclusion occurs if, in the open region, the slopes |F(Y2,t)-F(Y1,t)| / |Y2-Y1| are ... ................
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