EulersMethodHandout - _ _ _ _ Euler's Method _ _ Section...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Euler's Method Section 2.7 ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ 2 Recall • As long as the coefficients of our 1 st order differential equation are continuous with continuous partial derivatives with respect to y, it has a unique solution surrounding the initial point. • It is usually not possible to find the solution by symbolic manipulations such as elementary integration. So far we have just studied the exceptions to the rule. Namely, those equations that are linear, separable, exact, or those that can be transformed into one of these types. ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ 3 What do we do with the problem children? Since the vast majority of 1 st order differential equations cannot be solved using the methods we have learned so far, we have to have some way of dealing with them. On the next two slides you will see our choices. ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 01/13/2012 for the course MATH 2914 taught by Professor Pamelasatterfield during the Fall '10 term at NorthWest Arkansas Community College.

Page1 / 4

EulersMethodHandout - _ _ _ _ Euler's Method _ _ Section...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online