My Math Forum Question about general substitution for tricky ODE

 Differential Equations Ordinary and Partial Differential Equations Math Forum

 June 5th, 2017, 01:06 AM #1 Newbie   Joined: May 2017 From: south korea Posts: 7 Thanks: 0 Question about general substitution for tricky ODE as you know, many ODE(Ordinary Differential Equation) have explicit solution, but there are also more ODE which doesn't have. Let's think hypothetical need to find solution for a to calculate area below curvature or more generally, to find primitive or anti-derivative function or its substitute. A example of stiff ODE, you can find from Springer, is y = y' + cos(x) where y is a function of x then, what could be the way to replace or approximate it practically? thank you for dropping by
 June 5th, 2017, 10:07 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,476 Thanks: 2039 What was the particular Springer publication?

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