( 1 point ), Consider the following initial value problem . + AV = | 6t . \0 = 1 = 4 12 4 $ 10) = 0, *' ( 0 ) = 0 O Using {' for the...

Please help me with this problem. Show all work and please show all legible work. Will up vote if answer is correct. Thanks for the help

( 1 point ), Consider the following initial value problem ."+ AV =| 6t .\0 = 1 = 412 4$ 10) = 0, *' ( 0 ) = 0"OUsing {' for the Laplace transform of " (1 ) , i.e ., * = Llylist .find the equation you get by taking the Laplace transform of the differentialequation and solve forF ( S ) =