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Numerical Methods for Differential Equations with Python

The equation can be approximated using the forward Euler as w i+1 w i h = sin(x i). Rearranging the equation gives the discrete difference equation with the unknowns on the left and the know values of the right w i+1 = w i +hsin(x i). The Python code bellow implements this difference equation. The output of the code is shown in Figure 1.1.1.

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