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Let y_1 and y_2 satisfy y'=F(x,y) in a domain D, where F(x,y) satisfies a Lipschitz condition in y. Show that |y_2(x) - y_1(x)| ≦ e^(c|x-a|)*|y_2(a) - y_1(a)| for x ≦ a, where c is the Lipschitz constant. [Hint: Define t=a-x, and show that d[σ(t)e^(-2ct)]/dt ≦ 0.] -- 小武的照片 歡迎來我的相本晃晃喔 ^_^ http://tinyurl.com/d289a 拍的不好請多包含 ^^" -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 218.169.11.178