Consider the 1 order initial value problem: y' = f(t, y), 1...
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Consider the 1" order initial value problem: y' = f(t, y), 1<t< 4, y(1) = yo A certain method is used to solve the IVP, the truncation error of this method has the form: k,h? + k,h* + k3h6 + . an approximation of y(2) using this method with h = 0.5 and h = 0.25 are respectively a and b. Using Richardson's extrapolation to improve the approximation value of y(2), we obtain: O 2a-b O (4b-a)/3 (2b-a)/2 2b-a Consider the 1" order initial value problem: y' = f(t, y), 1<t< 4, y(1) = yo A certain method is used to solve the IVP, the truncation error of this method has the form: k,h? + k,h* + k3h6 + . an approximation of y(2) using this method with h = 0.5 and h = 0.25 are respectively a and b. Using Richardson's extrapolation to improve the approximation value of y(2), we obtain: O 2a-b O (4b-a)/3 (2b-a)/2 2b-a
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