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P5 Modified Euler Method - Help PLEASE watch

    • Thread Starter

    I've done it :rolleyes:

    (Original post by -mb-)
    The differential equation
    dy/dx = 1+xy
    with y =1 when x = 0 , is to be solved numerically by a step-by-step method.

    (ii) Use one step of the modified Euler method, with step-length 0.2, to find an alternative approximation
    for the value of y when x = 0.2 .

    Anyone who can explain why the answer is 1.224 not 1.218 WILL be pos repped.
    \frac{y_{n+1}-y_{n-1}}{0.4} \approx 1+x_{n}y_{n}\\

y_{n+1} \approx 0.4(1+x_{n}y_{n})+y_{n-1}

    I was just about to ask for the value of y at x=0.1 that you must have obtained in part (i) but you've done it
    Ah well, good practice with texing.
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Updated: June 19, 2005
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