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Homework Help: 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


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    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.
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