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Question Number 129010 by BHOOPENDRA last updated on 12/Jan/21

Commented by BHOOPENDRA last updated on 12/Jan/21

$$findtheinverselaplacetransformation?$$

Answered by Dwaipayan Shikari last updated on 12/Jan/21

$${\mathcal{L}}^{-1}\left(\frac{3s-12}{s^2+18}\right)$$$$=3{\mathcal{L}}^{-1}\left(\frac{s}{s^2+{\left(3\sqrt{2}\right)}^2}\right)-12{\mathcal{L}}^{-1}\left(\frac{1}{s^2+{\left(3\sqrt{2}\right)}^2}\right)$$$$=3cos\left(3\sqrt{2}t\right)-2\sqrt{2}sin\left(3\sqrt{2}t\right)$$

Commented by BHOOPENDRA last updated on 12/Jan/21

$$thankssir$$

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