Question: Use Euler's method with a step size h=0.2 to approximate the solution of the initial value problem dt - + 2y = 2 -e-4t y(0)

Use Euler's method with a step size h=0.2 to approximate the solution of the initial value problem dt - + 2y = 2 -e-4t y(0) = 1 The exact solution is 1 y(t) = 1+=(e-4t -e-2ty Calculate the results using Euler's method for =[0., 0.2, 0.4, 0.6, 0.8, 1.0] and the exact solution. Recall that the slope can be calculated using SLP =y((i)-y(i-1))/(t(i)-t(i-1)). Complete the table here: t Exact Solution Euler's Method Tangent line slope 0.0 0.2 0.4 0.6 0.8 1.0

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