Find_the_inverse_lapalce_transform_of_1‚Äö√Ñ√∂‚àö√ñ‚àö√´s(s-1)(s2+1)$

Question

TuteeHUB · Accepted Answer

¹‚Äö√Ñ√∂‚àö√ñ‚àö√´₂ e^t + ¹‚Äö√Ñ√∂‚àö√ñ‚àö√´₂ Sin(t) + ¹‚Äö√Ñ√∂‚àö√ñ‚àö√´₂ Cos(t)

TuteeHUB · Answer

1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 e-t + 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Sin(-t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Cos(-t)

TuteeHUB · Answer

1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 et + 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Sin(t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Cos(t)

TuteeHUB · Answer

1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 et + 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Sin(t) + 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Cos(t)

TuteeHUB · Answer

1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 et ‚Äö√Ñ√∂‚àö√ë‚àö¬® 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Sin(t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® 1‚Äö√Ñ√∂‚àö√ñ‚àö√´2 Cos(t)

1.	Find_the_inverse_lapalce_transform_of_¹‚Äö√Ñ√∂‚àö√ñ‚àö√´_{s(s-1)(s²+1)}$
A.	<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>-t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(-t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(-t)
B.	<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(t)
C.	<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(t) + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(t)
D.	<sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>t</sup> ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(t) ‚Äö√Ñ√∂‚àö√ë‚àö¬® <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(t)
Answer» C. <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> e<sup>t</sup> + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Sin(t) + <sup>1</sup>‚Äö√Ñ√∂‚àö√ñ‚àö√´<sub>2</sub> Cos(t)

Find_the_inverse_lapalce_transform_of_¹‚Äö√Ñ√∂‚àö√ñ‚àö√´_{s(s-1)(s²+1)}$