7.2E: The Inverse Laplace Transform (Exercises)
- Page ID
- 43325
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Q7.2.1
1. Find the inverse Laplace transform.
- \( {3\over(s-7)^4}\)
- \( {2s-4\over s^2-4s+13}\)
- \( {1\over s^2+4s+20}\)
- \( {2\over s^2+9}\)
- \( {s^2-1\over(s^2+1)^2}\)
- \( {1\over(s-2)^2-4}\)
- \( {12s-24\over(s^2-4s+85)^2}\)
- \( {2\over(s-3)^2-9}\)
- \( {s^2-4s+3\over(s^2-4s+5)^2}\)
2. Find the inverse Laplace transform.
- \( {2s+3\over(s-7)^4}\)
- \( {s^2-1\over(s-2)^6}\)
- \( {s+5\over s^2+6s+18}\)
- \( {2s+1\over s^2+9}\)
- \( {s\over s^2+2s+1}\)
- \( {s+1\over s^2-9}\)
- \( {s^3+2s^2-s-3\over(s+1)^4}\)
- \( {2s+3\over(s-1)^2+4}\)
- \( {1\over s}-{s\over s^2+1}\)
- \( {3s+4\over s^2-1}\)
- \( {3\over s-1}+{4s+1\over s^2+9}\)
- \( {3\over(s+2)^2}-{2s+6\over s^2+4}\)
3. Find the inverse Laplace transform.
- \( {-s^2+s+5\over s^3+s^2-4s-4}\)
- \( {5s-4\over s^3-s^2-2s}\)
- \( {3s^2+2s+1\over(s^2+1)(s^2+2s+2)}\)
- \( {-s+1\over(4s^2+1)(s^2+1)}\)
- \( {34-17s\over(2s-1)(s^2-2s+5)}\)
- \( {s-6\over(s^2-1)(s^2+4)}\)
- \( {3s+2\over(s^2+1)(s-1)^2}\)