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5. Consider the following one-step method for approximative y' = f(t, y): h W* = Wit f (t; + h/2, Wx ) 2 With =
5. Consider the following one-step method for approximative y' = f(t, y): h W* = Wit f (t; + h/2, Wx ) 2 With = withf(t; + h/2, wx) a) (2 points) Determine the absolute stability function Q(hA) for the method. b) (2 points) Determine if the method is A-stable. c) (1 points) If the method if used to solve the equation y' = -1000y, determine the largest stable timestep h
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