please answer all these question

[c] Solve the following Laplace Transfcnu by using the respective methods {i} {t3e3'}:- differentiation cftransfcnu {3 marks) (ii) He\" cos 5:} :- First shi property {2 marks) (d) A concrete block consists of multiple layers of different materials. These materials have their own unique heat conductivity characteristic, This creates problem in piedicting the time the heat will spreading all over the materials The mathematical formulation of this heat conduction problem for each layer is explessed as (fat? JG 2: 254-334-2019-: Q = Heat energy 1: = time Solve the ODE by using Laplace Transit-om. (11 marks)