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Engineering · Electrical Engineering
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4. Complex functions, ODE and independence (25 points) a) Consider e -1-i. Solve for all possible values of z. (0 points) b) Consider solutions of a 2nd order ODE yi e sin 2x and y2-e cos 2x i) Are the solutions independent? Give a reason. (2 points) ii) Find eigenvalues and characteristic equation of the ODE. (6 points) iii) Find the ODE. What case does the ODE represent in a mass spring system? (4 points) iv) What will be angular frequency if damping is eliminated in the ODE in iii)? (3 points)
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