Find the inverse laplace transform of ( frac{1}{(s^2+1)(s 1)(s + 5)

1.	Find the inverse laplace transform of ( frac{1}{(s^2+1)(s 1)(s + 5)} ).
A.	<sup>1</sup> <sub>12</sub> e<sup>t</sup> <sup>1</sup> <sub>13</sub> Cos(-t) <sup>1</sup> <sub>12</sub> Sin(-t) <sup>1</sup> <sub>156</sub> e<sup>-5t</sup>
B.	<sup>1</sup> <sub>12</sub> e<sup>-t</sup> <sup>1</sup> <sub>13</sub> Cos(t) <sup>1</sup> <sub>12</sub> Sin(t) <sup>1</sup> <sub>156</sub> e<sup>5t</sup>
C.	<sup>1</sup> <sub>12</sub> e<sup>t</sup> <sup>1</sup> <sub>13</sub> Cos(t) <sup>1</sup> <sub>12</sub> Sin(t) <sup>1</sup> <sub>156</sub> e<sup>-5t</sup>
D.	<sup>1</sup> <sub>12</sub> e<sup>t</sup> + <sup>1</sup> <sub>13</sub> Cos(t) + <sup>1</sup> <sub>12</sub> Sin(t) + <sup>1</sup> <sub>156</sub> e<sup>-5t</sup>
Answer» D. <sup>1</sup> <sub>12</sub> e<sup>t</sup> + <sup>1</sup> <sub>13</sub> Cos(t) + <sup>1</sup> <sub>12</sub> Sin(t) + <sup>1</sup> <sub>156</sub> e<sup>-5t</sup>

Discussion

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