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  3. q 2 consider the first order differential equation 05y ...

Question: q 2 consider the first order differential equation 05y ...

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Q. 2: Consider the first order differential equation +0.5y = 1.5x y(0) = 3 dt where x(t) is piecewise constant and assumes the following values: (0) 0 (3)-1 2(2) = 2 x(t) = 0 for t > 4 Develop a difference equation for this differential equation with T,-1 using (a) exact discretization (b) finite difference (c) MATLAB function Compare the integrated results for 0 < t difference model. 10. Examine whether Ts = 0.2 improves the finite

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