![[Pasted image 20260302152430.png|150]] A method of estimating the solution of a given [[Differential Equations|Differential Equation]] $y(t)$. $\huge \begin{cases} y'(t) = f(t,y)\\ y(t_{0})=y_{0} \end{cases} $ With a given step size $h$, each iteration of Euler's method is computed as such: $\huge \begin{align} z_{i+1} &= z_{i} +h f(t_{i},z_{i}) \end{align} $ For smaller and smaller step sizes of $h$, this method will diverge slower.