I need solve this problem of Ma266

Question 9 Not yet answered You need to show all your works for the following questions part 1) Evaluate the following transformations: a ) 2-1 (s+ 2) ? s(S - 3 b ) 2(1 4 ( 3 - 20 - 31) 2 ) = c ) 2-1 s+5 (s-1)2+9 part 2) a) Solve y" - 2y' + 4y= 0. b) Write down the complementary solution of y" - 2y' + 4y = 1+t c) Use the Laplace transform to solve the given initial value problem y" - 2y' + 4y= 1+t, y(0)= 0, y'(0)=2