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Euler's Method
Euler's method as a numerical method for finding particular solutions.
Euler's method as a numerical method for finding particular solutions.
No exercises available for this concept.
Mathematically Euler's Method works as follows:
Start at a known point β(x0β,y0β)β
Pick a step size βhβ such that βx0β+nh=xfinalββ for some integer βn.
Repeat the following steps for each βnβ until the desired βxβ-value is reached:
Find the slope βdxdyβ=f(xnβ,ynβ)β
Find the next βxβ value βxn+1β=xnβ+hπ.
Find the next βyβ-value βyn+1β=ynβ+hΓf(xnβ,ynβ)πβ