10Fall_hw06 - (c Does the frequency of the output differ...

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ECE210 - Fall 2010 - Homework 06 (Due: Oct 06, 2010 at 5 p.m.) 1. Consider the n th-order homogeneous ODE in p. 114 of the textbook and its general solution in terms of the characteristic polynomial. (a) Solve the ODE by the phasor method (i.e. solve d n y dt n + a 1 d n - 1 y dt n - 1 + ··· + a n y ( t ) = f ( t ) and find the phasor output Y as a response to a phasor input F , where y ( t ) = Re { Y e jωt } and f ( t ) = Re { Fe jωt } ). (b) Where does the characteristic polynomial appear in the output expression?
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Unformatted text preview: (c) Does the frequency of the output differ from the frequency of the input? (d) Why doesn’t the term ( ωt ) appear in the phasor solution? 2. Textbook problem 4.1 3. Textbook problem 4.2 4. Textbook problem 4.3 5. Textbook problem 4.9 6. Textbook problem 4.10 7. Textbook problem 4.11 1...
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