Inverse laplace transform of 𝐿−11𝑠2+𝑎2L −1 s 2 +a 2 1​ =a)1𝑎𝑐𝑜𝑠𝑎𝑡a1​ cosatb)1𝑎𝑠𝑖𝑛𝑎𝑡a1​ sinatc)1𝑎𝑠𝑖𝑛𝑡a1​ sintd)1𝑎𝑐𝑜𝑠𝑡a1​ cost

Find the inverse Laplace transform of 2s+1(s+2)2(s−1)2

Find the Inverse Laplace transform of function by using Convolution Theorem F(s) = 1/(S+2)(S-1)

Laplace transform of 𝐿𝑠𝑖𝑛𝑎𝑡Lsinat =a)𝑎2𝑠2−𝑎2s 2 −a 2 a 2 ​ b)𝑎𝑠2+𝑎2s 2 +a 2 a​ c)𝑠𝑠2−𝑎2s 2 −a 2 s​ d)𝑎𝑠2−𝑎2s 2 −a 2 a​

Find the Laplace transform of f(t) = 2𝑒7𝑡-2

Determine the inverse Laplace transform ofG(s)=6se−ss2+36𝐺(𝑠)=6𝑠𝑒−𝑠𝑠2+36Note: You must use the notation u(t−c)𝑢(𝑡−𝑐) rather than uc(t)𝑢𝑐(𝑡) in order for your answer to be accepted by SOWISO.