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Posted by on Tuesday, March 13, 2012 at 2:24pm.

Use euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem

y'= -3x+y^2, y(0)=1

  • calculus 2 - , Tuesday, March 13, 2012 at 4:09pm

    what's the problem? Just plug and chug:

    Yi+1 = yi + .2*y'(xi,yi)

    0: (0.0000,1.0000) -> 1.2000
    1: (0.2000,1.2000) -> 1.3680
    2: (0.4000,1.3680) -> 1.5023
    3: (0.6000,1.5023) -> 1.5937
    4: (0.8000,1.5937) -> 1.6216
    5: (1.0000,1.6216) -> 1.5475

    Looks like f(1) = 1.6216

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