2013年9月24日
Solving ordinary differential equations I(Nonstiff Problems),Exercise 1.2:A wrong solution
摘要： (Newton 1671, “Problema II, Solutio particulare”). Solve the total differential equation $$3x^2-2ax+ay-3y^2y'+axy'=0.$$Solve:We have $$y'(3y^2-ax)=3x^... 阅读全文
posted @ 2013-09-24 22:39 叶卢庆 阅读(277) 评论(0) 推荐(0) 编辑
Solving ordinary differential equations I(nonstiff problems),exercise 1.1
摘要： Solve equation $y'=1-3x+y+x^2+xy$ with another initial value $y(0)=1$.Solve: We solve this by using Newton's extraordinary method.We assume that the s... 阅读全文
posted @ 2013-09-24 00:50 叶卢庆 阅读(374) 评论(0) 推荐(0) 编辑