Question: Suppose that we are approximating the solution to x'(t)=ax (where a is a constant) with initial condition x(0)=x0>0 and that we use the forward Euler
Suppose that we are approximating the solution to x'(t)=ax (where a is a constant) with initial condition x(0)=x0>0 and that we use the forward Euler method to approximate the solution at the evenly spaced times to, t1, t2...tk...tN (where t0=0). Which of the following statements is true for all tk? As in class, we will denote the approximation of x(tk) by xk. Group of answers choices : It is not possible to determine the relationship between xk and x(tk) without more information. If a>0, then xk<=x(tk). If a>0, then xk>=x(tk). If a<0, then xk<=x(tk)
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