1.

Find the inverse laplace transform of ( frac{1}{s(s-1)(s^2+1)} ).

A. <sup>1</sup> <sub>2</sub> e<sup>-t</sup> + <sup>1</sup> <sub>2</sub> Sin(-t) <sup>1</sup> <sub>2</sub> Cos(-t)
B. <sup>1</sup> <sub>2</sub> e<sup>t</sup> + <sup>1</sup> <sub>2</sub> Sin(t) <sup>1</sup> <sub>2</sub> Cos(t)
C. <sup>1</sup> <sub>2</sub> e<sup>t</sup> + <sup>1</sup> <sub>2</sub> Sin(t) + <sup>1</sup> <sub>2</sub> Cos(t)
D. <sup>1</sup> <sub>2</sub> e<sup>t</sup> <sup>1</sup> <sub>2</sub> Sin(t) <sup>1</sup> <sub>2</sub> Cos(t)
Answer» C. <sup>1</sup> <sub>2</sub> e<sup>t</sup> + <sup>1</sup> <sub>2</sub> Sin(t) + <sup>1</sup> <sub>2</sub> Cos(t)


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