1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Predictor-corrector, starting values with Taylor method

  1. Feb 23, 2012 #1
    1. The problem statement, all variables and given/known data
    Hi! I need to solve the following ODE:

    [tex]xy'=1-y+x^2y^2, \qquad y(0)=1[/tex]

    using a predictor-corrector method. Starting values need to be found using a Taylor method.
    The exact solution is of the form [tex]\frac{\tan{x}}{x}[/tex]

    2. Relevant equations

    Taylor method of third order (for 1st starting value):


    3. The attempt at a solution
    Right here I bumped into a problem: in order to evaluate the 1st starting value (for example, if I'm using Adams-Bashforth 3rd order as a predictor and Adams-Moulton 3rd order method as a corrector) I get the following:


    Dividing with [tex]x=0[/tex] in order to get yields infinity :(. Any help would be appreciated.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted