Show transcribed image text Problem 3. Using Euler's method to calculate the approximate values of the solution of the initial value problem given in Problem 1-+ y = t, y(0) = 1 dy Show the details of (b) Let the step size h = 0.1, compute the approximate value of y at t = 0.1 and t = 0.2. your calculation. 0.2 using the solution you get in Problem I. Compute (c) Compute the exact solution of y at t = 0.1 and t the error of numerical approximation. Fill out Table 1 below with your answers from part (b) and (c). Euler's method Yo -1 Global error Exact solution yo) -1 to 0 t1-0.1 t2-0.2 y(0.2) .
Problem 3. Using Euler's method to calculate the approximate values of the solution of the initial value problem given in Problem 1-+ y = t, y(0) = 1 dy Show the details of (b) Let the step size h = 0.1, compute the approximate value of y at t = 0.1 and t = 0.2. your calculation. 0.2 using the solution you get in Problem I. Compute (c) Compute the exact solution of y at t = 0.1 and t the error of numerical approximation. Fill out Table 1 below with your answers from part (b) and (c). Euler's method Yo -1 Global error Exact solution yo) -1 to 0 t1-0.1 t2-0.2 y(0.2) .
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