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(a) If one solves the ordinary differential equation
using Euler's method find an expression for the local truncation error.
(b) Using the result of (a) above what will the upper bound on the truncation error be for the entire integration range?
(c) Assume that the computation proceeds using a constant integration step h. Show that the upper bound of the global error (i.e. the accumulative error) will be one order of magnitude less than upper bound of the truncation error ( that is, if the global bound of the truncation error is O(hm+1) then the bound for the global error is O(hm)).
(d) How is it possible (sometimes) to make an estimate of these bounds, before carrying out the numerical integration?
(i) Plot the step responses of the following second order systems and state the nature of each system. For each case, find the poles and plot the location of the poles in the compl
#questionMaximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0..
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