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 homework check

  1. Aug 30, 2011 #1
    1. The problem statement, all variables and given/known data
    I posted this already but decided to revive this thread since I re-worked the problem.

    Consider dy/dx=x+y, a function of both x and y subject to initial condition, y(x0)=y0.
    Use Taylor series to determine y(x0+[itex]\Delta[/itex]x) to 4th order accuracy.

    Initial condition: x0=0, y(x0)=1
    step size: [itex]\Delta[/itex]x=0.1

    Show 5 significant digits in the answer.
    Do the calculations for only one step.

    2. Relevant equations

    3. The attempt at a solution

    Taylor series:

    Is this correct?

    My solution:

    The derivatives:



    Did I solve this correctly? I want to be able to have something decent when I meet with the professor tomorrow.
  2. jcsd
  3. Aug 30, 2011 #2


    User Avatar
    Science Advisor
    Gold Member

    Everything looks right. I am not willing to double check all your arithmetic.
  4. Aug 30, 2011 #3
    That's fine. I just wanted to know if I was on the right track. Thanks for taking a look.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook