I'm writing a MATLAB function to solve a system of differential equations with the Euler method. I need to estimate the local truncation error of the method but I don't know how to do. I know that the local truncation error of a first order DE y′=f(y(t),t) is given by : LTE_i=−h^2/2y′′(xi_i) where h is the step size and xi_i in [t_(i−1),t_i]. What is the expression for the local truncation error of the system vec y′=f(vec y (t),t)?

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