Question: Fix xo = 2 and to = 0 and consider the ODEs defined by f_1(x, t) = 0, fo(x, t) = 1, fi(x, t) =

Fix xo = 2 and to = 0 and consider the

Fix xo = 2 and to = 0 and consider the ODEs defined by f_1(x, t) = 0, fo(x, t) = 1, fi(x, t) = t, and f2(x, t) = to. By hand, find the exact solution for each ODE. For each of these ODEs, apply one step of your Euler and Midpoint codes using h = 1/3. Calculate the errors versus the exact solutions. What do the results indicate about the consistency, convergence, and/or order of these two methods

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