Question C.6: SOLUTION OF A FIRST-ORDER DIFFERENCE EQUATION BY z-TRANSFORM...
SOLUTION OF A FIRST-ORDER DIFFERENCE EQUATION BY z-TRANSFORMS, AND PARTIAL FRACTION EXPANSION.
Use z-transforms to solve the first-order difference equation:
y(k) = 0.7y(k – 1) + 1.5u(k – 1) (C.101)
given that u(k) = 1 for all k. (That is, find the unit step response of the first-order system whose model is as in Eq. (C.101).)
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