Find an expansion for ln [1+(1/s2)] powers of 1/s.
Chapter 7, Problem 57E(choose chapter or problem)
Find an expansion for \(\mid n\left[1+\left(1 / s^{2}\right)\right]\) in powers of 1/s. Assuming the inverse Laplace transform can be computed term by term, show that
\(\mathscr{L}^{1}\left\{l n\left(1+\frac{1}{s^{2}}\right)\right\}(t)=\frac{2}{t}(1-\operatorname{cost})\)
Equation transcription:
Text transcription:
n[1+(1 / s^{2})]
{L}^{1}{l n(1+frac{1}{s^{2}}}(t)=frac{2}{t}(1-{cost})
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