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Python 3.7 Need help graphing 4 curves using Euler's Numerical Method This is my code now. I need to graph each curve with step size

Python 3.7

Need help graphing 4 curves using Euler's Numerical Method

image text in transcribed

This is my code now. I need to graph each curve with step size 1, 0.5 and 2. Also, the analytical curve also needs to be graphed. All 4 curves need to go on the same graph. I am receiving the correct output values but it has been a while since I have used python and have forgot how to plot.

The analytical equation is image text in transcribed

Where as the equation using the step sizes is image text in transcribed

The end of that equation image text in transcribed equals the step size.

Values given are g= 9.81, m = 68.1, c = 12.5

# step size 1 # Question 1 Part a print() print('Question 1 part A') print) # m/s m = 68.1 # kg C = 12.5 8 = 9.81 # kg/s V = 0 t = 0 # 5 step = 1 # 5 for i in range(12): v = v + (8-c/m*v)*step t = t + step print(tv) - # step size 6.5 print() print('Question 1 part B') print() 8 = 9.81 # m/s m = 68.1 # kg # kg/s C = 12.5 V = 0 t = 0 # 5 step = 0.5 # 5 for i in range(12): v = v + (8-c/m*v)*step t = t + step print(t,v) print) # step size 2 8 = 9.81 # m/s m = 68.1 # kg # kg/s C = 12.5 V = 0 t = 0 # 5 step = 2 # 5 for i in range(12): v = v + (8-c/m*v) *step t = t + step G print(t,v analytical_curve = 53.44(1-math.exp(-0.1855 * t))

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