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Numerical Methods Homework

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Kernel: SageMath 8.2
import numpy as np import matplotlib.pyplot as plt x0 = 0 y0 = 1 xf = 2 n = 100 deltax = (xf-x0)/(n-1) x = np.linspace(x0,xf,n) y = np.zeros([n]) y[0] = y0 for i in range(1,n): y[i]=deltax*(y[-1]) plt.plot(x,y,'o') plt.xlabel('Value of x') plt.ylabel('Value of y' ) plt.title('Approximate Solution with Forward Eulers Method') plt.show( )
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