Euler's Method question.

  1. que

    que 3

    I need some clarification please the question is:
    -Using Euler's method with h = .25 given dy/dx = ycosx ,y(0) = 1 on the interval 0 <= x =< pi/4.

    are the X's : pi/12, pi/6, pi/4 OR .25, .50, .75 ??

    some help please

    que.
     
  2. jcsd
  3. Integral

    Integral 7,351
    Staff Emeritus
    Science Advisor
    Gold Member

    [tex] x_0=0 [/tex]
    [tex] x_1 = x_0 +h [/tex]
    [tex] x_3 = x_0 + 2*h [/tex]

    Continue until

    [tex] x_n > \frac { \pi } 4 [/tex]
     
  4. HallsofIvy

    HallsofIvy 40,795
    Staff Emeritus
    Science Advisor

    Start at 0 and go by steps of h:
    0, .25, .50, .75, 1, 1.25, 1.50.

    It's a bit peculiar to use an h that does not divide evenly into the length of the interval. Are you sure you have read the problem correctly?
     
  5. que

    que 3

    ok so what i get.
    (x0,y0) = (0,1)
    X1 = .25
    Y1 = 1 + .25(1*cos(0)) = 1.25
    i do this until x3,y3 where x3 = .75, and y3 = 1.8935
    do i stop there since doing one more step will be > pi/4?

    thanx.
     
  6. que

    que 3

    yes HallsofIvy i read the problem correctly that why i was confused since all the book problems use an h that is divide evenly into the length of the intervals.
     
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