Question:
The solution of the difference equation \(x_t =\frac{1}{2} x_{t-1}+3\) is
The solution of the difference equation \(x_t =\frac{1}{2} x_{t-1}+3\) is
Updated On: Mar 10, 2024
- \(x_t=(\frac{1}{2})^t(x_0-6)+6\)
- \(x_t=(\frac{1}{2})^t(x_0-3)-2\)
- \(x_t=(\frac{1}{2})^t(x_0-6)-6\)
- \(x_t=(\frac{1}{2})(x_0+6)+2\)
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The Correct Option is A
Solution and Explanation
The correct answer is (A) : \(x_t=(\frac{1}{2})^t(x_0-6)+6\)
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