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  • Perplex
    IB Math AIHL
    /
    Differential Equations
    /

    Euler's Method

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    Euler's Method

    Euler's Method

    Euler's method as a numerical method for finding particular solutions.

    Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

    Exercises

    No exercises available for this concept.

    Key Skills

    Performing Euler's Method
    AHL AI 5.16

    Mathematically Euler's Method works as follows:

    1. Start at a known point (x0​,y0​)

    2. Pick a step size h such that x0​+nh=xfinal​ for some integer n.

    Repeat the following steps for each n until the desired x-value is reached:

    1. Find the slope dxdy​=f(xn​,yn​)

    2. Find the next x value xn+1​=xn​+h📖.

    3. Find the next y-value yn+1​=yn​+h×f(xn​,yn​)📖