1. PF Contest - Win "Conquering the Physics GRE" book! Click Here to Enter
    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!

Taylor Series Starting Method

  1. Apr 30, 2006 #1
    With a simple ODE like [itex]\frac{ds}{dt} = 10 - 9.8t[/itex] and you're given an initial condition of s(0) = 1, when doing the approximation would s'(0) = 10 - 9.8(0), s'' = ... etc?
    Last edited: Apr 30, 2006
  2. jcsd
  3. Apr 30, 2006 #2


    User Avatar
    Science Advisor

    Yes, you are given s(0) so just plug it into the given equation and solve for s'(0). Actually, the crucial point is under your "etc." Since
    s'= 10- 9.8t, s"= -9.8, s"'= 0, etc. It should be no surprise that s is a quadratic function of t.

    It would be more interesting if there were an "s" on the right side of the equation.
  4. May 1, 2006 #3
    Thanks for the help.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook