10.1 - 8/24/2011 1 10.1 Taylor Series Method 8/23/2011...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

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

Unformatted text preview: 8/24/2011 1 10.1 Taylor Series Method 8/23/2011 Initial Value Problems ODE like + 9 = ? with solution = ? 1 ??3 + ? 2 ???3 Consider the initial value problem for a first order differential equation = ? , ? = ??? ?? It is understood that is a function of : = ?(, ) 8/24/2011 2 Examples Some examples of I.V.P.s ODE I.V. Solution = + 1 = 0 = ? 1 = 6? 1 1 = 6 = 3? 2 ? + 4 = ? + 1 = 0 = ? 2 + 1 1 Not every ODE can be solved analytically Even when we can solve an ODE in closed form, the expression could be too complicated to be evaluated Where do ODEs come from in applications? Newtons second Law of Motion = ?? An ODE in disguise ? = 8/24/2011 3 A Rocket Launch Example We illustrate with a simplified model of a rocket being fired at time...
View Full Document

This note was uploaded on 11/27/2011 for the course MAP 4371 taught by Professor Xli during the Fall '11 term at University of Central Florida.

Page1 / 8

10.1 - 8/24/2011 1 10.1 Taylor Series Method 8/23/2011...

This preview shows document pages 1 - 4. Sign up to view the full document.

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