Question

Exercise 3: Use the convolution theorem to find the following inverse Laplace transforms (a) (mathcal{L}^{-1}left{frac{1}{(s-4)s} ight}), (b) (mathcal{L}^{-1}left{frac{s}{(s^2+a^2)^2} ight}). (c) (mathcal{L}^{-1}left{frac{1}{(s^2-2s+2)(s^2+2s+2)} ight}). (d) (mathcal{L}^{-1}left{frac{s}{(s^2+4)(s^2+1)} ight}). Note: (c) and (d) were on the previous homework, this time you have to use the convolution theorem instead of PFD but you should get the same result. You might need some trig identities here, you can find a list of identities in the next page.

          Exercise 3: Use the convolution theorem to find the following inverse Laplace transforms
(a) (mathcal{L}^{-1}left{frac{1}{(s-4)s}
ight}), 
(b) (mathcal{L}^{-1}left{frac{s}{(s^2+a^2)^2}
ight}).
(c) (mathcal{L}^{-1}left{frac{1}{(s^2-2s+2)(s^2+2s+2)}
ight}).
(d) (mathcal{L}^{-1}left{frac{s}{(s^2+4)(s^2+1)}
ight}).
Note: (c) and (d) were on the previous homework, this time you have to use the convolution
theorem instead of PFD but you should get the same result. You might need some trig identities
here, you can find a list of identities in the next page.

$Exercise 3: Use the convolution theorem to find the following inverse Laplace transforms (a) (mathcalL^-1leftfrac1(s-4)s ight), (b) (mathcalL^-1leftfracs(s^2+a^2)^2 ight). (c) (mathcalL^-1leftfrac1(s^2-2s+2)(s^2+2s+2) ight). (d) (mathcalL^-1leftfracs(s^2+4)(s^2+1) ight). Note: (c) and (d) were on the previous homework, this time you have to use the convolution theorem instead of PFD but you should get the same result. You might need some trig identities here, you can find a list of identities in the next page.$

Added by Juan C.

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