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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.
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Mathematically Euler's Method works as follows:
Start at a known point ​(x0​,y0​)​
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:
Find the slope ​dxdy​=f(xn​,yn​)​
Find the next ​x​ value ​xn+1​=xn​+h📖.
Find the next ​y​-value ​yn+1​=yn​+h×f(xn​,yn​)📖​